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Arithmetic Progressions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsArithmetic Progressions2 Marks
Question
Is $302$ a them of the A.P. $3, 8, , 13, ...?$
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Answer

Is $302$ a term of A.P $3, 8, 13$
Let $302$ be $n^{th}$ term of the given A.P.
Here, $302=3+(\text{n}-1)5$
$\frac{299}{5}=(\text{n}-1)$
$\text{n}=\frac{304}{5}$
Whivh is not a natural nimber.
$\therefore 302$ is not a term of given A.P.

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