Deck 14: Sequences, Series, and the Binomial Theorem

Question 1

Find the indicated term for the sequence whose general term is given.

Answer 1

A

Question 2

Write the first five terms of the sequence whose general term is given.

Answer 2

A

Question 3

Find the indicated term for the sequence whose general term is given.

Answer 3

D

Question 4

Find a general term an for the sequence whose first four terms are given.

Question 5

Write the first five terms of the sequence whose general term is given.

Question 6

Find a general term an for the sequence whose first four terms are given.

Question 7

Write the first five terms of the sequence whose general term is given.

Question 8

Find a general term an for the sequence whose first four terms are given.

Question 9

Find the indicated term for the sequence whose general term is given.

Question 10

Write the first five terms of the sequence whose general term is given.

Question 11

Find a general term an for the sequence whose first four terms are given.

Question 12

Find the indicated term for the sequence whose general term is given.

Question 13

Write the first five terms of the sequence whose general term is given.

Question 14

Find the indicated term for the sequence whose general term is given.

Question 15

Write the first five terms of the sequence whose general term is given.

Question 16

Find the indicated term for the sequence whose general term is given.

Question 17

Write the first five terms of the sequence whose general term is given.

Question 18

Write the first five terms of the sequence whose general term is given.

Question 19

Write the first five terms of the sequence whose general term is given.

Question 20

Find the indicated term for the sequence whose general term is given.

Question 21

Solve the problem.

Question 22

Find the indicated term of the sequence.

Question 23

Write the first five terms of the arithmetic sequence whose first term, a1, and common difference, d, are given.

Question 24

Find the indicated term of the sequence.

Question 25

Solve the problem.

Question 26

Find the indicated term of the sequence.

Question 27

Solve the problem.

Question 28

Write the first five terms of the arithmetic sequence whose first term, a1, and common difference, d, are given.

Question 29

Solve the problem.

Question 30

Solve the problem.
Doctors predict that by administering a vaccine, the number of new cases of a certain childhood disease will decrease by half each year. If 1000 people were afflicted with the disease in 2010,
Estimate the number of new cases in 2015. (Round to the nearest whole number, if necessary.)

A) 63 new cases
B) 31 new cases
C) 16 new cases
D) 125 new cases

Question 31

Given are the first three terms of a sequence that is arithmetic. Find a1 and d.

Question 32

Find the first five terms of the sequence. Round each term to four decimal places as necessary.

Question 33

Find the indicated term of the sequence.

Question 34

Find the indicated term of the sequence.

Question 35

Find the indicated term of the sequence.

Question 36

Find the indicated term of the sequence.

Question 37

Write the first five terms of the arithmetic sequence whose first term, a1, and common difference, d, are given.

Question 38

Find the indicated term of the sequence.

Question 39

Write the first five terms of the arithmetic sequence whose first term, a1, and common difference, d, are given.

Question 40

Given are the first three terms of a sequence that is arithmetic. Find a1 and d.

Question 41

Find the indicated term of the sequence.

Question 42

Given are the first three terms of a sequence that is geometric. Find a1 and r.

Question 43

Given are the first three terms of a sequence that is arithmetic. Find a1 and d.

Question 44

Find the indicated term of the sequence.
The fourth term of the geometric sequence whose first term is 9 and whose common ratio is -2

A) 144
B) -8
C) 72
D) -72

Question 45

Find the indicated term of the sequence.
The fifth term of the geometric sequence 4, -20, 100, ...

A) -12,500
B) 625
C) -2500
D) 2500

Question 46

Find the indicated term of the sequence.
The sixth term of the geometric sequence 4, 20, 100, ...

A) 3125
B) 100
C) 12,500
D) 62,500

Question 47

Given are the first three terms of a sequence that is geometric. Find a1 and r.

Question 48

Find the indicated term of the sequence.

Question 49

Write the first five terms of the geometric sequence whose first term, a1, and common ratio, r, are given.

Question 50

Write the first five terms of the geometric sequence whose first term, a1, and common ratio, r, are given.

Question 51

Write the first five terms of the geometric sequence whose first term, a1, and common ratio, r, are given.

Question 52

Find the indicated term of the sequence.

Question 53

Given are the first three terms of a sequence that is geometric. Find a1 and r.

Question 54

Given are the first three terms of a sequence that is arithmetic. Find a1 and d.

Question 55

Given are the first three terms of a sequence that is geometric. Find a1 and r.

Question 56

Given are the first three terms of a sequence that is geometric. Find a1 and r.

Question 57

Given are the first three terms of a sequence that is arithmetic. Find a1 and d.

Question 58

Find the indicated term of the sequence.
The fourth term of the geometric sequence whose first term is 6 and whose common ratio is 2

A) 48
B) 8
C) 96
D) 36

Question 59

Given are the first three terms of a sequence that is either arithmetic or geometric. If the sequence is arithmetic, find a1
and d. If a sequence is geometric, find a1 and r.

Question 60

Find the indicated term of the sequence.

Question 61

Evaluate the expression.

Question 62

Write the series with summation notation.

Question 63

Solve the problem.

Question 64

Solve the problem.

Question 65

Solve the problem.

Question 66

Solve the problem.

Question 67

Write the series with summation notation.

Question 68

Given are the first three terms of a sequence that is either arithmetic or geometric. If the sequence is arithmetic, find a1
and d. If a sequence is geometric, find a1 and r.

Question 69

Solve the problem.

Question 70

Write the series with summation notation.

Question 71

Given are the first three terms of a sequence that is either arithmetic or geometric. If the sequence is arithmetic, find a1
and d. If a sequence is geometric, find a1 and r.

Question 72

Solve the problem.

Question 73

Evaluate the expression.

Question 74

Write the series with summation notation.

Question 75

Write the series with summation notation.

Question 76

Evaluate the expression.

Question 77

Evaluate the expression.

Question 78

Solve the problem.

Question 79

Solve the problem.

Question 80

Write the series with summation notation.