Sequences and Series Review Game

Math Analysis Honors

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Sequences and Series Review Game

Given two terms in an arithmetic sequence find the term named in the problem, the explicit formula, and the recursive formula.

1) a = 46 and a = 200

12

34

Find a 40

2) a = -152 and a = -342

17

36

Find a 39

Evaluate each arithmetic series described.

45

S 3) (9m - 18) m = 1

4) 17 + 24 + 31 + 38..., n = 17

Determine the number of terms n in each arithmetic series.

5) a = 30, d = 9, S = 12525

1

n

Find the 8th term, the explicit formula, and the recursive formula.

6) 4, -12, 36, -108, ...

Given a term in a geometric sequence and the common ratio find the explicit formula, recursive formula, and the 8th term.

7) a = -972, r = 3 6

Evaluate each geometric series described. 8) -2 - 10 - 50 - 250..., n = 9

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Worksheet by Kuta Software LLC

10

S 9) 4 ? (-3)i - 1 i = 1

Determine the number of terms n in each geometric series.

10) -4 + 12 - 36 + 108..., S = 6560 n

Determine if each geometric series converges or diverges.

11) 1 - 4 + 16 - 64...

12) -8 - 4 - 2 - 1...

Evaluate each infinite geometric series described.

S ( ) ?

1 n-1

13) -2 ?

n = 1

2

S ( ) ? 3

1 k-1

14)

?

k=1 2 4

Evaluate each series.

10

S 15) k(k - 1) k = 5

5

S 17) (300 - m2) m = 1

6

S 16) (50 - a2) a = 1

5

S 18) a(a - 2) a = 1

Determine the number of terms n in each arithmetic series.

n

S 19) (9i - 13) = 885 i = 1

Evaluate each infinite geometric series described.

?

S 20) -3.4 ? (-0.7)i - 1 i = 1

Worksheet by Kuta Software LLC

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Math Analysis Honors

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Sequences and Series Review Game

Given two terms in an arithmetic sequence find the term named in the problem, the explicit formula, and the recursive formula.

1) a = 46 and a = 200

12

34

Find a 40

a = 242 40

Explicit: a = -38 + 7n n

Recursive: a = a + 7

n

n - 1

a = -31 1

2) a = -152 and a = -342

17

36

Find a 39

a = -372 39

Explicit: a = 18 - 10n n

Recursive: a = a - 10

n

n - 1

a =8 1

Evaluate each arithmetic series described.

45

S 3) (9m - 18) m = 1

8505

4) 17 + 24 + 31 + 38..., n = 17 1241

Determine the number of terms n in each arithmetic series.

5) a = 30, d = 9, S = 12525

1

n

50

Given a term in a geometric sequence and the common ratio find the explicit formula, recursive formula, and the 8th term.

7) a = -972, r = 3 a = -8748

6

8

Explicit: a = -4 ? 3n - 1 n

Recursive: a = a ? 3

n

n - 1

a = -4 1

Evaluate each geometric series described.

8) -2 - 10 - 50 - 250..., n = 9

-976562

Find the 8th term, the explicit formula, and the recursive formula.

6) 4, -12, 36, -108, ... a = -8748 8

Explicit: a = 4 ? (-3)n - 1 n

Recursive: a = a ? -3

n

n - 1

a =4 1

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Worksheet by Kuta Software LLC

10

S 9) 4 ? (-3)i - 1 i = 1

-59048

Determine the number of terms n in each geometric series.

10) -4 + 12 - 36 + 108..., S = 6560 n 8

Determine if each geometric series converges or diverges.

11) 1 - 4 + 16 - 64...

12) -8 - 4 - 2 - 1...

Diverges

Converges

Evaluate each infinite geometric series described.

S ( ) ?

1 n-1

13) -2 ?

n = 1

2

-4

S ( ) ? 3

1 k-1

14)

?

k=1 2 4

2

Evaluate each series.

10

S 15) k(k - 1) k = 5

310

6

S 16) (50 - a2) a = 1

209

5

S 17) (300 - m2) m = 1

1445

5

S 18) a(a - 2) a = 1

25

Determine the number of terms n in each arithmetic series.

n

S 19) (9i - 13) = 885 i = 1

15

Evaluate each infinite geometric series described.

?

S 20) -3.4 ? (-0.7)i - 1 i = 1

-2

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Worksheet by Kuta Software LLC

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