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

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Answer 2

Answer:

$t_{5}=27$

Step-by-step 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 $t_{5}=27$.