Sequence and Series Exam Review Worksheet

Algebra 2

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Sequence and Series Exam Review Worksheet

Date________________

Determine the 52nd term and write an explicit formula for the nth term.

1) 27, -3, -33, -63, ...

2) -27, -127, -227, -327, ...

3) a = 40, d = -100 1

4) a = -32, d = 10 1

5) a = 53 and a = 85

17

33

Determine the 8th term and write an explicit formula for the nth term.

6) -1, -4, -16, -64, ...

7) 1, 2, 4, 8, ...

8) a = 4, r = 2 3

9) a = 216, r = -6 4

10) a = 625 and a = -125

5

4

-1-

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Worksheet by Kuta Software LLC

Evaluate the sum of each arithmetic or geometric series described.

11) a = -11, d = -2, n = 8 1

12) a = -10, d = -2, n = 10 1

13) 4 + 7 + 10 + 13..., n = 15

9

14) (3 - 10n)

n = 1

20

15) (10i - 9)

i = 1

16) a = -4, r = -2, n = 8 1

17) a = -4, r = 4, n = 7 1

18) -4 - 16 - 64 - 256..., n = 8

10

19) 4 2m - 1

m = 1

10

20) -2 4n - 1

n = 1

-2-

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Worksheet by Kuta Software LLC

Algebra 2

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Sequence and Series Exam Review Worksheet

Date________________

Determine the 52nd term and write an explicit formula for the nth term.

1) 27, -3, -33, -63, ...

2) -27, -127, -227, -327, ...

a = -1503 52

Explicit: a = 57 - 30n n

a = -5127 52

Explicit: a = 73 - 100n n

3) a = 40, d = -100 1

a = -5060 52

Explicit: a = 140 - 100n n

4) a = -32, d = 10 1

a = 478 52

Explicit: a = -42 + 10n n

5) a = 53 and a = 85

17

33

a = 123 52

Explicit: a = 19 + 2n n

Determine the 8th term and write an explicit formula for the nth term.

6) -1, -4, -16, -64, ...

7) 1, 2, 4, 8, ...

a = -16384 8

Explicit: a = -4n - 1 n

a = 128 8

Explicit: a = 2n - 1 n

8) a = 4, r = 2 3

a = 128 8

Explicit: a = 2n - 1 n

9) a = 216, r = -6 4

a = 279936 8

Explicit: a = -(-6)n - 1 n

10) a = 625 and a = -125

5

4

a = -78125 8

Explicit: a = (-5)n - 1 n

-1-

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Worksheet by Kuta Software LLC

Evaluate the sum of each arithmetic or geometric series described.

11) a = -11, d = -2, n = 8 1 -144

12) a = -10, d = -2, n = 10 1 -190

13) 4 + 7 + 10 + 13..., n = 15 375

9

14) (3 - 10n)

n = 1

-423

20

15) (10i - 9)

i = 1

1920

16) a = -4, r = -2, n = 8 1 340

17) a = -4, r = 4, n = 7 1 -21844

18) -4 - 16 - 64 - 256..., n = 8 -87380

10

19) 4 2m - 1

m = 1

4092

10

20) -2 4n - 1

n = 1

-699050

-2-

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Worksheet by Kuta Software LLC

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