Is 68 a them of the A.P. 7, 10, 13, ...? - Vidyadip

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Is 68 a them of the A.P. 7, 10, 13, ...?

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Is 168 a term of A.P. 7, 10, 13, ...? Here, $\text{a}=7$ and $\text{x}=10-7=3$ $\therefore\text{a}_\text{n}$ term is $=\text{a}+(\text{n}-1)\text{d}$ Let 68 be $n^{th}$ temr of A.P. Then, $68=7+3(\text{n}-1)$ $\Rightarrow68=7+3\text{n}-3$ $\Rightarrow68-4=3\text{n}$ $\Rightarrow64=3\text{n}$ $\Rightarrow\text{n}=\frac{64}{3}$ Which is note natural number. $\therefore$ 68 nota term of given A.P.

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