Write the first five terms of each of the following sequences whose nth terms are:
$ a_{n}=3^{n} $

Given:

\( a_{n}=3^{n} \)

To do:

We have to find the first five terms of the given sequence.

Solution:

$a_n=3n+2$

Taking $n=1$, we get

$a_1=3^{1}=3$

Taking $n=2$, we get

$a_2=3^{2}=9$

Taking $n=3$, we get

$a_3=3^{3}=27$

Taking $n=4$, we get

$a_4=3^{4}=81$

Taking $n=5$, we get

$a_5=3^{5}=243$

Hence, the first five terms of the given sequence are $3, 9, 27, 81$ and $243$. 

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Updated on: 10-Oct-2022

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