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study help
mathematics
precalculus
Questions and Answers of
Precalculus
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 3k-1 2 k=1
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. k-1 ο0 Σε( 3 k=1
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. k-1 250 4 k=1
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 9 + 12 + 16 + 64/3 + ...
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 8 + 12 + 18 + 27 + ...
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 27 3 16 64
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 2 32 |
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 6 + 2 + 2/3 + ...
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 8 + 4 + 2 + ...
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 4 2 + 3
Determine whether each infinite geometric series converges or diverges. If it converges, find its sum. 1 + 3
Use a graphing utility to find the sum of the geometric sequence. () 15 18 3 + ... + 2 25 5
Use a graphing utility to find the sum of the geometric sequence. -1 - 2 - 4 - 8 - … - 214
Use a graphing utility to find the sum of the geometric sequence.
Use a graphing utility to find the sum of the geometric sequence. 15 п 3 п31
Use a graphing utility to find the sum of the geometric sequence. 32 33 315 9. 9. 9.
Use a graphing utility to find the sum of the geometric sequence. 22 23 214 4 4 4 4+
Find the sum. n-1 + 2 2.
Find the sum. -1 - 2 - 4 - 8 - Á – (2n-1)
Find the sum. E4-3k-1 k=1
Find the sum. п 3 k=1
Find the sum.
Find the sum.
When given, r is the common ratio.a3 = 1/3, a6 = 1/81
When given, r is the common ratio.a2 = 7, a4 = 1575
When given, r is the common ratio.a2 = 7, r = 1/3
When given, r is the common ratio.a6 = 243, r = -3
When given, r is the common ratio. 4, 1, 4' 16'
When given, r is the common ratio. 11 -3, 1, 3'9'
When given, r is the common ratio.5, 10, 20, 40, ...
When given, r is the common ratio.7, 14, 28, 56, ...
Find the indicated term of each geometric sequence. 7th term of 0.1, 1.0, 10.0, ...
Find the indicated term of each geometric sequence. 8th term of 0.4, 0.04, 0.004, ...
Find the indicated term of each geometric sequence. 10th term of -1, 2, -4, ...
Find the indicated term of each geometric sequence. 9th term of 1, -1, 1, ...
Find the indicated term of each geometric sequence. 8th term of 1, 3, 9, ...
Find the indicated term of each geometric sequence. 7th term of 1, 5 2'4
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 = 0; r = 1/π
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 = √2, r = √2
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 = 1; r = -1/3
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 = 0, r = 1/2
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 = 6; r = -2
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 = 5; r = -1
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 = -2, r = 4
Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are givena1 =2; r = 3
Show that the sequence is geometric. Then find the common ratio and write out the first four terms. 2" {un} 3"-1
Show that the sequence is geometric. Then find the common ratio and write out the first four terms.
Show that each sequence is geometric. Then find the common ratio and write out the first four terms.{fn} = {32n}
Show that each sequence is geometric. Then find the common ratio and write out the first four terms.{en} = {2n/3}
Show that the sequence is geometric. Then find the common ratio and write out the first four terms.
Show that each sequence is geometric. Then find the common ratio and write out the first four terms.
Show that each sequence is geometric. Then find the common ratio and write out the first four terms. {()} 5 {bn}
Show that each sequence is geometric. Then find the common ratio and write out the first four terms.
Show that each sequence is geometric. Then find the common ratio and write out the first four terms.{Sn} = {(-5)n}
Show that each sequence is geometric. Then find the common ratio and write out the first four terms.{Sn} = {3n}
True or False.For a geometric sequence with the first term a1 and common ration r, where r ≠ 0, r ≠ 1, the sum of the first n terms is
True or False.In a geometric sequence, the common ratio is always a positive number.
True or False.A geometric sequence may be defined recursively.
If a series does not converge, it is called a _______.
If |r| < 1 the sum of the geometric series is _____. 00 2ark-1 k=1
In a(n)________sequence the ratio of successive terms is a constant.
How much do you need to invest now at 5% per annum compounded monthly so that in 1 year you will have $10,000?
If $1000 is invested at 4% per annum compounded semiannually, how much is in the account after 2 years?
Describe the similarities and differences between arithmetic sequences and linear functions.
If you received a job offer with a starting salary of $35,000 per year and a guaranteed raise of $1400 per year, how many years will it take before your aggregate salary is $280,000? Your
How many rows are in the corner section of a stadium containing 2040 seats if the first row has 10 seats and each successive row has 4 additional seats?
An outdoor amphitheater has 35 seats in the first row, 37 in the second row, 39 in the third row, and so on. There are 27 rows altogether. How many can the amphitheater seat?
Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24
As a parcel of air rises (for example, as it is pushed over a mountain), it cools at the dry adiabatic lapse rate of 5.5°F per 1000 feet until it reaches its dew point. If the ground temperature is
A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each successive step requires two less bricks than the prior step. (a) How many bricks are required for the top
A mosaic is designed in the shape of an equilateral triangle, 20 feet on each side. Each tile in the mosaic is in the shape of an equilateral triangle, 12 inches to a side. The tiles are to alternate
The corner section of a football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. How many seats are in this section?
The Drury Lane Theater has 25 seats in the first row and 30 rows in all. Each successive row contains one additional seat. How many seats are in the theater?
How many terms must be added in an arithmetic sequence whose first term is 78 and whose common difference is to obtain a sum of 702?
How many terms must be added in an arithmetic sequence whose first term is 11 and whose common difference is 3 to obtain a sum of 1092?
Find x so that 2x, 3x + 2 and 5x + 3 are consecutive terms of an arithmetic sequence.
Find x so that x + 3, 2x + 1, and 5x + 2 are consecutive terms of an arithmetic sequence.
Find the sumThe sum of the first 46 terms of sequence 2, -1, -4, -7 ...
Find the sumThe sum of the first 120 terms of sequence 14, 16, 18, 20, ...
Find the sum. š(-+}) 80 Σ -п 2.
Find the sum. 2
Find the sum. 90 Σ(3-2η) n=1
Find the sum. 80 Σ2η-5) n=1
Find the sum. 3 8 + 8÷+ 8-+ 8÷ + 9+ ...+ 50 4 4
Find the sum. 4 + 4.5 + 5 + 5.5 + ... + 100
Find the sum. 7 + 1 - 5 - 11 - ... - 299
Find the sum. 73 + 78 + 83 + 88 + ... + 558
Find the sum. 2 + 5 + 8 + ... + 41
Find the sum. 5 + 9 + 13 + ... + 49
Find the sum. 1 + 3 + 5 + ... + 59
Find the sum. 2 + 4 + 6 + ... + 70
Find the sum. -1 + 3 + 7 + ... + (4n - 5)
Find the sum. 7 + 12 + 17 + ... + (2 + 5n)
Find the sum. 2 + 4 + 6 + ... + 2n
Find the sum. 1 + 3 + 5 + ... + (2n - 1)
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 12th term is 4; 18th term is 28
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 14th term is -1; 18th term
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 5th term is -2, 13th term is 30
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 15th term is 0; 40th term is -50
Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 8th term is 4; 18th term is -96
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