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

Answer:

The fifth term is $t_{5}=27$

Step-by-step 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,

$t_{5}=2^{5}-5=(2\times 2\times 2\times 2\times 2)-5=32-5=27$

So, $t_{5}=27$.

Answer 2

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