Question

What is the fourth term of the sequence? an=2 ⋅ 4n−2 Enter your answer in the box. a4=

Answer 1

`a_4=32`

Explanation:

The given sequence is
`a_n=2\cdot4^(n-2)`

In order to find the fourth term, substitute n = 4

`a_4=2\cdot4^(4-2)`

The exponent becomes 4 -2 = 2

`a_4=2\cdot4^(2)`

Now, 4^2 = 16. Hence, we have

`a_4=2\cdot16`

Finally, multiply 2 and 16

`a_4=32`

Hence, the fourth term is 32.