1.

Q1. The sum of an arithmetic series is 261. The value of the first term is -7, and the value of the /th term is 65. Find the number of terms. O 10 terms O 11 terms O 15 terms O 9 termsQ2. Given the first and last terms, find the sum of each arithmetic series. t, = -5, t, =-35 O -220 O -440 O 175 O -40Q3. Find the sum of each series. 5+ 7+9+11 +... (first 40 terms) 4400 O 880 O 1760 O 3520Q4. Piper has worked for the same company for 7 years, and each year she gets a raise of $2,000. In the 7 years Piper has worked for this company, she has earned a total of $252,000. What was Piper's pay for his first year? O $33,000 O $30,000 O $25,000 O $27,000Q Q5. An arithmetic series is defined by the formula a, = 8n - 1. a) What is the first term of the series? b) Write an expression for the sum of the first / terms of the series.Q7. Find the sum of the arithmetic series. -1, 2, 5,...,53 O 988 O -53 O 52 O 4941+3x 2. A geometric sequence is defined by the equation a, = (-2) Find the following. Be sure to show all work. a) the first term of the sequence. b) the common ratio of the sequence. c) the 5th term of the sequence.8. The cost to join a club is $8 the first year and increases by 12% each year. What is the cost to join the club in the 10th year? O $19.81 O $9.20 O $24.85 O $22.182. The general term of a geometric sequence is t, = 3(5)", where " is a positive integer. Show all steps to find the sum of the first 6 terms of the sequence, rounded to the nearest hundredth if necessary if necessary.3. The first term of a geometric series is 8. The sum of the first two terms is 14.4, and the sum of the first three terms of the series is 19.52. What is the sum of the first 4 terms of this series? O 23.616 O 18.8928 57.5368 O 46.0294Q4. Find the approximate sum of the first 10 terms of the geometric series defined by a, = 1.6; 7 = 0.9 O 10.42 O 9.38 O 163.4 O 261.445. The sum of the first three terms of a geometric series is 9.76, and the common ratio is 0.8. What is the first term of the series? O 3 O 4 O - 4 O 26. The first term of a geometric series is 8. The sum of the first two terms is 14.4, and the sum of the first three terms of the series is 19.52. What is the common ratio for this series? O O O 6.4 O Alu1. The sum of an infinite series is 40.5, and the first term is 27. What is the common ratio of the series? O NOW O O N/ K OQ2. The sum of an infinite series is 48, and the common ratio is 0.75. What is the first term of the series? O 0.75 O 12 O 48 O 23. Find the sum of the infinite series indicated by 16+4 + 1 +... O 21 O 64 O Cannot be determined O 64 325 Q 4. The sum of an infinite series is given by S= What is the first term of this series? 1 + I W O 1 O Alw O 25 O 100 7Q 5. The sum of an infinite series is given by S = 25 What is the common ratio of this series? 1+ * I W O O 25 O O 1Q Q7. The terms of an infinite geometric series are given by a, = 5(0.2) 3x-4 Show all work to find: a) the first term of the series. b) the common ratio of the series, rounded to four decimal places if necessary. c) the sum of the series, rounded to the nearest hundredth if necessary.8. A sequence is defined by a, = 2(3)". Select the type of sequence, and determine whether this sequence will converge or diverge. O Geometric Sequence; Diverge O Arithmetic Sequence; Converge O Arithmetic Sequence; Diverge O Geometric Sequence; ConvergeQ1. Write in sigma notation. 8 + 12 + 16 + 20Q3. Write the 1st 6 terms of the sequence $1 = 2 In = In-1 +2 O Cannot be determined O 1, 3, 5, 7, 9, 11 O 2, 4, 8, 16, 32, 64 O 2, 4, 6, 8, 10,12Q 4. Evaluate 6 2n+ 1 n= 3 O 34 O 13 O 3+ 31 O 13