Comparing Arithmetic and Geometric Sequences PDF

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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, ...

3) 4,

13 3

,

16 14 , 5, , ... 3 3

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

4) −4, 12, −36, 108, −324, ...

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

6) −29, −34, −39, −44, −49, ...

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

8) 1, 4, 9, 16, 25, ...

9) −34, −26, −18, −10, −2, ...

10) 0, 3, 8, 15, 24, ...

11) an = −163 + 200n

12) an = 16 + 3 n

13) an = −4 ⋅ (−3 )n − 1

14) an = −

3 3 + n 4 2

15) an = −43 + 4n

17) an = −43 + 7n

2 16) an = (2n)

18) an =

n 2

n

n−1 19) an = −(−3 )

n−1 20) an = 2 ⋅ (−3)

21) an = an − 1 + 6 a1 = −17

22) an = nan − 1 a1 = −1

23) an = an − 1 ⋅ −5 a1 = 4

24) an = an − 1 + 8 a1 = −17

2 + an − 1

26) an = an − 1 + 2 a1 = 9

25) an =

2

a1 = −6

27) an = an − 1 + 10 a1 = −1

28) an = nan − 1 a1 = 1

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

3) 4,

13 3

,

14 16 , 5, , ... 3 3

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

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

Arithmetic

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

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

9) −34, −26, −18, −10, −2, ...

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

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

10) 0, 3, 8, 15, 24, ...

Arithmetic

Neither

11) an = −163 + 200n

12) an = 16 + 3 n

Arithmetic

13) an = −4 ⋅ (−3)n − 1

Arithmetic

14) an = −

3 3 + n 4 2

Geometric Arithmetic

15) an = −43 + 4n Arithmetic

17) an = −43 + 7n Arithmetic

16) an = (2n)2 Neither

18) an =

n 2

n

Neither

n−1 19) an = −(−3 )

Geometric

21) an = an − 1 + 6 a1 = −17 Arithmetic

23) an = an − 1 ⋅ −5 a1 = 4 Geometric

25) an =

2 + an − 1 2

a1 = −6

n−1 20) an = 2 ⋅ (−3)

Geometric

22) an = nan − 1 a1 = −1 Neither

24) an = an − 1 + 8 a1 = −17 Arithmetic

26) an = an − 1 + 2 a1 = 9 Arithmetic

Neither

27) an = an − 1 + 10 a1 = −1 Arithmetic

28) an = nan − 1 a1 = 1 Neither

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