Question

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

A. 2, 4, 8, 16, 32,...


B. 0,1,3,9,513,...


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


D. 3,5,7,9,11,...

Answer 1

*100% CORRECT ANSWERS

Answer 2

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Explanation:

2. The sequence is defined by the explicit function
`t_(n) = 2^(n)  - n`

Therefore, the 5th term i.e.
`t_(5)` of the sequence.

`t_(5) = 2^(5)  - 5 = 32 - 5 = 27` (Answer)

3. The explicit definition is
`t_(n) = 2^(n)  + 1`

Hence,
`t_(1) = 2^(1)  + 1 = 3`

`t_(2) = 2^(2)  + 1 = 5`

`t_(3) = 2^(3)  + 1 = 9`

`t_(4) = 2^(4)  + 1 = 17`

Therefore, the option C is the right sequence. (Answer)