Question

Which sequence could be described by the explicit definition: LaTeX: t_n=2^n+1

Answer 1

C

Explanation:

Plugin numbers starting from 1 for n

Answer 2

3, 5, 9, 17, 33...

Explanation:

To find the right answer we just replace initial values for the given expression:

`t_(n)=2^(n)+1`

For
`n=1`:

`t_(1)=2^(1)+1=2+1=3`

For
`n=2`:

`t_(2)=2^(2)+1=4+1=5`

For
`n=3`:

`t_(3)=2^(3)+1=8+1=9`

So, based on these results, the third option is the correct answer, because replace the first three numbers, we had 3, 5, 9, which is in the third sequence.