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