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10 votes
4, 16, 36, 64 is this a arithmetic sequence?

1 Answer

10 votes

Answer:The terms are given by the formula

a

n

=

4

n

2

where

n

=

1

,

2

,

3

,

...

Step-by-step explanation:Write out the original sequence:

4

,

16

,

36

,

64

Write out the sequence of differences of the sequence:

12

,

20

,

28

Since this is not constant, the sequence is not arithmetic.

Write out the sequence of differences of that sequence: 8,8

User Yehuda Schwartz
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