Which term of the AP 3, 8, 13, 18, .....is 88? - Vidyadip

Question

Which term of the AP 3, 8, 13, 18, .....is 88?

✓

Answer

In the given AP, we have a = 3 and d = 8 - 3 = 5
Suppose there are n terms in given AP, then
$T_n = a + (n - 1)d$
$\Rightarrow 3 + (n - 1)5 = 88$
$\Rightarrow 3 + 5n - 5 = 88$
$\Rightarrow 5n = 90$
⇒ $\text{n}=\frac{90}{5}=18$
Hence, the $18^{th}$ term of given AP is 88.

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