Which term of the A.P. $3, 8, 13, ……$ is $248$?

Given:

Given A.P. is $3, 8, 13, ……$

To do:

We have to find $248$ is which term of the given A.P.

Solution:

Let $248$ be the nth term of the given A.P.

Here,

$a_1=3, a_2=8, a_3=13$

Common difference $d=a_2-a_1=8-3=5$

We know that,

nth term $a_n=a+(n-1)d$

Therefore,

$a_{n}=3+(n-1)(5)$

$248=3+n(5)-1(5)$

$248-3=5n-5$

$245+5=5n$

$5n=250$

$n=\frac{250}{5}$

$n=50$

Hence, $248$ is the 50th term of the given A.P.  

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Updated on: 10-Oct-2022

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