Question

Given the sequence is defined by the explicit definition LaTeX: t_n=2^n-nt n = 2 n − n, find the 5th term of the sequence. (ie LaTeX: t_5t 5) Group of answer choices

5
10
27
32

Answer 1

*100% CORRECT ANSWERS

Answer 2

The fifth term is
`t_(5)=27`

Explanation:

Given:

The
`n^(th)` term of the sequence is given as:
`t_(n)=2^(n)-n`

The fifth term of the above sequence can be determined by plugging in 5 for
`n` and simplifying. This gives,

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

So,
`t_(5)=27`.