Comparing Arithmetic and Geometric Sequences

Kuta Software - Infinite Algebra 2

Name___________________________________

Comparing Arithmetic and Geometric Sequences

Date________________ Period____

For each sequence, state if it is arithmetic, geometric, or neither.

1) 1, 3, 6, 10, 15, ...

2) 40, 43, 46, 49, 52, ...

13 14 16

3) 4, , , 5, , ...

33

3

4) -4, 12, -36, 108, -324, ...

5) 4, 16, 36, 64, 100, ...

6) -29, -34, -39, -44, -49, ...

7) 1, 5, 25, 125, 625, ... 9) -34, -26, -18, -10, -2, ...

8) 1, 4, 9, 16, 25, ... 10) 0, 3, 8, 15, 24, ...

11) a = -163 + 200n n

13) a = -4 (-3)n - 1 n

12) a = 16 + 3n n 33

14) a = - + n n 42

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Worksheet by Kuta Software LLC

15) a = -43 + 4n n

17) a = -43 + 7n n

19) a = -(-3)n - 1 n

21) a = a + 6 n n-1 a = -17 1

23) a = a -5 n n-1 a =4 1

2 + a

25) a =

n - 1

n

2

a = -6 1

27) a = a + 10 n n-1 a = -1 1

16) a = (2n)2 n

n 18) a =

n 2n

20) a = 2 (-3)n - 1 n

22) a = na

n

n - 1

a = -1 1

24) a = a + 8

n

n - 1

a = -17 1

26) a = a + 2

n

n - 1

a =9 1

28) a = na

n

n - 1

a =1 1

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Comparing Arithmetic and Geometric Sequences

Date________________ Period____

For each sequence, state if it is arithmetic, geometric, or neither.

1) 1, 3, 6, 10, 15, ... Neither

2) 40, 43, 46, 49, 52, ... Arithmetic

13 14 16

3) 4, , , 5, , ...

33

3

Arithmetic

4) -4, 12, -36, 108, -324, ... Geometric

5) 4, 16, 36, 64, 100, ... Neither

6) -29, -34, -39, -44, -49, ... Arithmetic

7) 1, 5, 25, 125, 625, ... Geometric

9) -34, -26, -18, -10, -2, ... Arithmetic

8) 1, 4, 9, 16, 25, ... Neither

10) 0, 3, 8, 15, 24, ... Neither

11) a = -163 + 200n n Arithmetic

12) a = 16 + 3n n Arithmetic

13) a = -4 (-3)n - 1 n Geometric

33 14) a = - + n

n 42 Arithmetic

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Worksheet by Kuta Software LLC

15) a = -43 + 4n n Arithmetic

17) a = -43 + 7n n Arithmetic

19) a = -(-3)n - 1 n Geometric

21) a = a + 6 n n-1 a = -17 1 Arithmetic

16) a = (2n)2 n Neither

n 18) a =

n 2n Neither

20) a = 2 (-3)n - 1 n Geometric

22) a = na

n

n - 1

a = -1 1

Neither

23) a = a -5 n n-1 a =4 1

Geometric

24) a = a + 8

n

n - 1

a = -17 1

Arithmetic

2 + a

25) a =

n - 1

n

2

a = -6 1

Neither

26) a = a + 2

n

n - 1

a =9 1

Arithmetic

27) a = a + 10 n n-1 a = -1 1

Arithmetic

28) a = na

n

n - 1

a =1 1

Neither

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Worksheet by Kuta Software LLC

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