____ $^{t h}$ term of AP 3, 8, 13, 18,...... is 78.

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Solution

The correct option is C 16
Given: $n^{t h}$ term of the AP = 78
Common difference(d) = 5
First term(a) = 3

$n^{t h}$ term of AP is,
$T_{n} = a + (n - 1) d$
$\Rightarrow 78 = 3 + (n - 1) 5$
$\Rightarrow 5 (n - 1) = 78 - 3$
$\to n - 1 = \frac{75}{5} = 15$
$\to n = 16$

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