Find 'n' if the nth term of the following A.P. is $68$ .
$5, 8, 11, 14,$ __________.

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Solution

nth term is given by,
$T_{n} = a + (n - 1) d$

Here, $a = 5$
$d = 8 - 5 = 3$
$T_{n} = 68$

$68 =$ $5 + (n - 1) 3$

$\frac{63}{3}$ $=$ $n - 1$

$n = 22$

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