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Q : 4 Which term of the AP : $\small 3,8,13,18,...,$ is $\small 78$ ?

Answers (1)

G Gautam harsolia

Given AP is
$\small 3,8,13,18,...,$
Let suppose that nth term of AP is 78
Here, $a = 3$
And
$d = a_2-a_1 = 8 - 3 = 5$
Now, we know that that
$a_n = a + (n-1)d$
$\Rightarrow 78 = 3 + (n-1)5$
$\Rightarrow 78 -3 = 5n-5$
$\Rightarrow n = \frac{75 +5}{5}= \frac{80}{5} = 16$
Therefore, value of 16th term of given AP is 78

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