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)

Answer 1

*100% CORRECT ANSWERS

Answer 2

`t_(5)=27`

Explanation:

Given:

The
`n^(th)` term of the sequence is given as:

`t_(n)=2^(n)-n`

In order to find the fifth term of this sequence, we need to plug in 5 for
`n` in the above expression and solve. This gives,

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

Therefore, the fifth term of the sequence is
`t_(5)=27`.