Write out the first five terms of the sequence.

{sn} = {2n} Group of answer choices

s1= 2, s2= 4, s3= 8, s4= 16, s5= 32

s1= 1, s2= 2, s3= 4, s4= 8, s5= 16

s1= 4, s2= 8, s3= 16, s4= 32, s5= 64

s1= 1, s2= 4, s3= 9, s4= 16, s5= 25 Flag question: Question 2 Question 22 pts Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.

{4n2 - 3} Group of answer choices

Geometric; r = 4

Arithmetic; d = 4

Arithmetic; d = -3

Neither Flag question: Question 3 Question 32 pts Write out the sum.

Group of answer choices

1 + 2 + 3 + ... + n

n + 3

3 + 4 + 5 + ... + (n + 3)

4 + 5 + 6 + ... + (n + 3) Flag question: Question 4 Question 42 pts Express the sum using summation notation.

+ + + ... + Group of answer choices

Flag question: Question 5 Question 52 pts An arithmetic sequence is given. Find the common difference and write out the first four terms.

{7 - 5n} Group of answer choices

d = -5; 2, -3, -8, -13

d = -5; 2, -1 , -6 , -11

d = 5; 2, 7 , 12 , 17

d = -5; -5, -10, -15, -20 Flag question: Question 6 Question 62 pts Write out the first five terms of the sequence.

{sn} = {n2 - n} Group of answer choices

s1= 0, s2= 2, s3= 6, s4= 12, s5= 20

s1= 0, s2= 3, s3= 8, s4= 15, s5= 24

s1= 1, s2= 4, s3= 9, s4= 16, s5= 25

s1= 2, s2= 6, s3= 12, s4= 20, s5= 30 Flag question: Question 7 Question 72 pts The sequence is defined recursively. Write the first four terms.

a1 = 4; an = an-1 - 1 Group of answer choices

a1 = -1, a2 = -2, a3 = -3, a4 = -4

a1 = 4, a2 = 5 , a3 = 4 , a4 = 3

a1 = 4, a2 = 3, a3 = 2, a4 = 1

a1 = 4, a2 = 5 , a3 = 6 , a4 = 7 Flag question: Question 8 Question 82 pts The sequence is defined recursively. Write the first four terms.

a1 = 2; an = Group of answer choices

a1 = 2, a2 = 1, a3 = , a4 =

a1 = 2, a2 = 2, a3 = , a4 =

a1 = 2, a2 = 2, a3 = 1, a4 =

a1 = 2, a2 = , a3 = , a4 = Flag question: Question 9 Question 92 pts Find the sum of the sequence.

Group of answer choices

-4

-30

-26

-12 Flag question: Question 10 Question 102 pts The sequence is defined recursively. Write the first four terms.

a1 = 2, a2 = 5; an = an-2 - 3an-1 Group of answer choices

a1 = 2, a2 = 5, a3 = -1, a4 = -16

a1 = 2, a2 = 5, a3 = 17, a4 = -46

a1 = 2, a2 = 5, a3 = -13, a4 = 44

a1 = 2, a2 = 5, a3 = 1, a4 = 2 Flag question: Question 11 Question 112 pts Find the sum of the sequence.

Group of answer choices

14

30

44

22 Flag question: Question 12 Question 122 pts Express the sum using summation notation.

+ + ... + Group of answer choices

Flag question: Question 13 Question 132 pts Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.

1 - + - + . . . Group of answer choices

Converges;

Converges;

Converges; -

Diverges Flag question: Question 14 Question 142 pts Express the sum using summation notation.

25 + 35 + 45 + ... + 75 Group of answer choices

Flag question: Question 15 Question 152 pts Expand the expression using the Binomial Theorem.

(3x + 1)5 Group of answer choices

243x5 + 15x4 + 90x3 + 90x2 + 15x + 1

243x5 + 81x4 + 27x3 + 9x2 + 3x + 1

(9x2 + 6x + 1)5

243x5 + 405x4 + 270x3 + 90x2 + 15x + 1 Flag question: Question 16 Question 162 pts Write out the sum.

Group of answer choices

12 + 16 +20+ ... + (4n + 8)

12 + 16 + 20 + ... + (4n + 4)

8 + 12 + 16 + ... + (4n + 8)

8 + 12 + 16 + ... + (4n + 4) Flag question: Question 17 Question 172 pts A geometric sequence is given. Find the common ratio and write out the first four terms.

{dn} = Group of answer choices

r = 3; d1 = , d2 = , d3 = , d4 =

r = 3; d1 = , d2 = , d3 = , d4 =

r = ; d1 = , d2 = , d3 = , d4 =

r = ; d1 = , d2 = , d3 = , d4 = Flag question: Question 18 Question 182 pts Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.

2 + 1 + + ... Group of answer choices

Converges; 1

Converges; 4

Converges; 2

Diverges Flag question: Question 19 Question 192 pts The sequence is defined recursively. Write the first four terms.

a1 = 4; an = 4an-1 Group of answer choices

a1 = 4, a2 = 16, a3 = 64, a4 = 256

a1 = 4, a1 = 18, a2 = 66, a4 = 258

a1 = 4, a1 = 15, a2 = 14, a4 = 13

a1 = 12, a1 = 48, a2 = 192, a4 = 384 Flag question: Question 20 Question 202 pts Find the sum.

1 + 2 + 3 + ... + 207 Group of answer choices

43,056

42,849

21528

21321 Flag question: Question 21 Question 212 pts The sequence is defined recursively. Write the first four terms.

a1 = 14; an = n - an - 1 Group of answer choices

a1 = 14, a2 = 16, a3 = -13, a4 = 17

a1 = 14, a2 = -12, a3 = 15, a4 = -11

a1 = 14, a2 = 28, a3 = -14, a4 = 42

a1 = 13, a2 = 16, a3 = 14, a4 = 17 Flag question: Question 22 Question 222 pts The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.

4, 16, 64, 256, 1024, ... Group of answer choices

an = 4n

an = 4n-1 + 3

an = 12n

an = 4 + 12(n - 1) Flag question: Question 23 Question 232 pts Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.

9th term is 29; 14th term is -6 Group of answer choices

a1 = 92, d = -7, an = an-1 - 7

a1 = 92, d = 7, an = an-1 + 7

a1 = 85, d = -7, an = an-1 - 7

a1 = 85, d = 7, an = an-1 + 7 Flag question: Question 24 Question 242 pts An arithmetic sequence is given. Find the common difference and write out the first four terms.

Group of answer choices

d = ; , , ,

d = ; , , ,

d = ; , , ,

d = ; , , , Flag question: Question 25 Question 252 pts Expand the expression using the Binomial Theorem.

(x + 1)6 Group of answer choices

x6 + 6x5 +30x4 + 120x3 + 30x2 + 6x + 1

x6 + 6x5 + 30x4 + 120x3 + 360x2 + 720x + 720

x6 + 6x5 +15x4 + 20x3 + 15x2 + 6x + 1

x6 + 6x5 + 15x4 + 20x3 + 15x2 + 6x + 6 Flag question: Question 26 Question 262 pts Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.

Group of answer choices

Geometric; r =

Geometric; r =

Arithmetic; d =

Neither Flag question: Question 27 Question 272 pts Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.

{5n - 4} Group of answer choices

Geometric; r = 5

Arithmetic; d = 5

Arithmetic; d = -4

Neither Flag question: Question 28 Question 282 pts Find the indicated term of the geometric sequence.

8th term of -1, 3, -9, ... Group of answer choices

a8 = 6561

a8 = -6561

a8 = -2187

a8 = 2187 Flag question: Question 29 Question 292 pts Expand the expression using the Binomial Theorem.

(w - s)6 Group of answer choices

w6 - 6w5s - 30w4s2 + 120w3s3 + 360w2s4 - 720ws5 - 720s6

w6 - 6w5s + 15w4s2 - 20w3s3 + 15w2s4 - 6ws5 + s6

w6 - s6

w6 - 8w5s + 17w4s2 - 22w3s3 + 17w2s4 - 8ws5 + s6 Flag question: Question 30 Question 302 pts Express the sum using summation notation.

+ + + ... + Group of answer choices

Flag question: Question 31 Question 312 pts Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.

a = 4; r = -4 Group of answer choices

a5 = -256; an = 4 (-4)n

a5 = 1024; an = 4 (-4)n

a5 = -256; an = 4 (-4)n-1

a5 = 1024; an = 4 (-4)n-1 Flag question: Question 32 Question 322 pts Express the sum using summation notation.

2 + 4 + 6 + ... + 16 Group of answer choices

Flag question: Question 33 Question 332 pts A geometric sequence is given. Find the common ratio and write out the first four terms.

{sn} = {3n} Group of answer choices

r = 3; s1 = 3, s2 = 9, s3 = 27, s4 = 81

r = 3; s1 = 3, s2 = 6, s3 = 9, s4 = 12

r = 3n; s1 = 3, s2 = 6, s3 = 9, s4 = 12

r = 3n; s1 = 3, s2 = 9, s3 = 27, s4 = 81 Flag question: Question 34 Question 342 pts Find the sum.

6 + 12 + 18 + ... + 756 Group of answer choices

48006

48387

47628

47250 Flag question: Question 35 Question 352 pts Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.

7th term is 16; 15th term is 48 Group of answer choices

a1 = -12, d = 4, an = an-1 + 4

a1 = -8, d = 4, an = an-1 - 4

a1 = -8, d = 4, an = an-1 + 4

a1 = -12, d = 4, an = an-1 - 4 Flag question: Question 36 Question 362 pts Expand the expression using the Binomial Theorem.

(2x + 1)5 Group of answer choices

32x5 + 16x4 + 8x3 + 4x2 + 2x + 1

32x5 + 80x4 + 80x3 + 40x2 + 10x + 1

(4x2 + 4x + 1)5

32x5 + 10x4 + 40x3 + 40x2 + 10x + 1 Flag question: Question 37 Question 372 pts Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.

a = 5; r = Group of answer choices

a5 = ; an = 5 n-1

a5 = ; an = 5 n

a5 = ; an = 5 n-1

a5 = ; an = 5 n Flag question: Question 38 Question 382 pts Solve.

A small business owner made $40,000 the first year he owned his store and made an additional over the previous year in each subsequent year. Find how much he made during his fourth year of business. Find his total earnings during the first four years. (Round to the nearest cent, if necessary.) Group of answer choices

$196,520.00; $420,120.00

$334,084.00; $754,204.00

$49,001.72; $177,597.72

$13.72; $43,009.72 Flag question: Question 39 Question 392 pts Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.

{3n2} Group of answer choices

Geometric; r = 3

Arithmetic; d = 3

Geometric; r =

Neither Flag question: Question 40 Question 402 pts Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.

9th term is 23; 16th term is -26 Group of answer choices

a1 = 86, d = 7, an = an-1 + 7

a1 = 86, d = -7, an = an-1 - 7

a1 = 79, d = 7, an = an-1 + 7

a1 = 79, d = -7, an = an-1 - 7 Flag question: Question 41 Question 412 pts Write out the sum.

Group of answer choices

2 + 8 + 18 + ... +

1 + 2 + 3 + ... + n

+ 2 + + ... +

Flag question: Question 42 Question 422 pts Find the indicated term of the geometric sequence.

6th term of 1, , , ... Group of answer choices

a6 =

a6 =

a6 =

a6 = Flag question: Question 43 Question 432 pts Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.

2 + + + + . . . Group of answer choices

Converges;

Converges;

Converges; 3

Diverges Flag question: Question 44 Question 442 pts Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.

11 + 15 + 17 + 19 + ... Group of answer choices

Converges;

Converges; 30

Converges; 41

Diverges Flag question: Question 45 Question 452 pts Write out the first five terms of the sequence.

{sn} = {n - 4} Group of answer choices

s1= -4, s2= -3, s3= -2, s4= -1, s5= 0

s1= -3, s2 = -2, s3 = -1, s4 = 0, s5 = 1

s1= 4, s2= 8, s3= 12, s4= 16, s5= 20

s1= -1, s2= 0, s3= 1, s4= 2, s5= 3 Flag question: Question 46 Question 462 pts The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.

5, -10, 15, -20, ... Group of answer choices

an = (-1)n 5

an = (-1)n + 1 5

an = (-1)n 5n

an = (-1)n + 1 5n Flag question: Question 47 Question 472 pts An arithmetic sequence is given. Find the common difference and write out the first four terms.

{6n + 5} Group of answer choices

d = 6; 6, 11, 17, 23

d = 6; 11, 17, 23, 29

d = 5; 11, 17, 23, 29

d = 5; 6, 11, 17, 23 Flag question: Question 48 Question 482 pts Expand the expression using the Binomial Theorem.

(x - 7)5 Group of answer choices

x5 - 35x4 + 490x3 - 3430x2 + 12,005x - 16,807

x5 - 35x4 + 980x3 - 6860x2 + 12,005x - 16,807

x5 - 35x4 + 980x3 - 6860x2 + 12,005x - 7

x5 - 35x4 + 490x3 - 3430x2 + 12,005x - 7 Flag question: Question 49 Question 492 pts A geometric sequence is given. Find the common ratio and write out the first four terms.

{sn} = {4n} Group of answer choices

r = 4; s1 = 4, s2 = 16, s3 = 64, s4 = 256

r = 4n; s1 = 4, s2 = 16, s3 = 64, s4 = 256

r = 4n; s1 = 4, s2 = 8, s3 = 12, s4 = 16

r = 4; s1 = 4, s2 = 8, s3 = 12, s4 = 16 Flag question: Question 50 Question 502 pts Write out the first five terms of the sequence.

{cn} = Group of answer choices

c1 = 3, c2 = 4, c3 = , c4 = 6, c5 = 7

c1 = 3, c2 = 2, c3 = , c4 = , c5 =

c1 = 4, c2 = 5, c3 = 6, c4 = 7, c5 = 8

c1 = 2, c2 = , c3 = , c4 = , c5 =