Quiz about Sequences and Series

Question 1

Find the 22nd term of the following sequence:
5, 8, 11, ...

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 2

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Accepted Answer

-146

Answer

81

Answer

-34

Answer

-225

Question 3

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

Accepted Answer

$320

Answer

$50

Answer

$35

Answer

$250

Question 4

225,75,25,8.33

Accepted Answer

Geometric sequence with a common ratio of 1/3

Answer

Geometric sequence with a common ration of 3

Answer

Arithmetic sequence with a common difference of 58

Answer

Common difference of 3

Question 5

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 6

Determine the sum of the series written in Sigma Notation.

Accepted Answer

2700

Answer

5400

Answer

2692

Answer

2704

Question 7

Determine the sum of the series written in Sigma Notation.

Accepted Answer

-65104

Answer

-71570

Answer

-73483

Answer

-22003

Question 8

Determine the sum of the series written in Sigma Notation.

Accepted Answer

255

Answer

-1

Answer

295

Answer

350

Question 9

Determine if the series converges or diverges

Accepted Answer

Diverges

Answer

Converges

Question 10

Evaluate the infinite series described:

Accepted Answer

-4/25

Answer

No Sum

Answer

0

Answer

-1/9

Question 11

Evaluate the infinite series described:

Accepted Answer

16384/3

Answer

4/3

Answer

No Sum

Answer

5522

Question 12

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

Accepted Answer

160, 175, 190

Answer

165, 185, 195

Answer

155, 165, 175

Answer

190, 175, 160

Question 13

Find S_n for the given series:
a₁=22
d=-8
n=21

Accepted Answer

-1218

Answer

1911

Answer

-1449

Answer

-2436

Question 14

Find the sum if possible

Accepted Answer

48

Answer

16

Answer

36

Answer

not possible

Question 15

Which recursive formula best describes the following sequence:
3, 8, 13, 18, 23...

Accepted Answer

a_n = a_n-1+5 ; a₁=3

Answer

a_n = (3)^n-1 ; a₁=5

Answer

a_n = (5)^n-1 ; a₁=3

Answer

a_n = a_n-1+3 ; a₁=5

Question 16

a_n = a₁ + (n - 1) * d
What formula is this?

Accepted Answer

Explicit Arithmetic Formula

Answer

Explicit Geometric Formula

Answer

Arithmetic Series Formula

Answer

Geometric Series Formula

Question 17

a_n = a₁ * (r)^{n - 1}
What formula is this?

Accepted Answer

Explicit Geometric Formula

Answer

Explicit Arithmetic Formula

Answer

Finite Arithmetic Series Formula

Answer

Finite Geometric Series Formula

Question 18

S_n = (n/2) (a₁ + a_n)
What formula is this?

Accepted Answer

Finite Arithmetic Series Formula

Answer

Explicit Arithmetic Formula

Answer

Explicit Geometric Formula

Answer

Finite Geometric Series Formula

Question 19

a₁ * (1 - (r)ⁿ)
S_n = ------------------
1 - r
What formula is this?

Accepted Answer

Finite Geometric Series Formula

Answer

Infinite Arithmetic Series Formula

Answer

Finite Arithmetic Series Formula

Answer

Infinite Geometric Series Formula

Question 20

a₁
S_n = ------------------
1 - r
What formula is this?

Accepted Answer

Infinite Geometric Series Formula

Answer

Infinite Arithmetic Series Formula

Answer

Finite Geometric Series Formula

Answer

Finite Arithmetic Series Formula

Sequences and Series

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