Can the following expression be $n^{t h}$ term of an AP?
$2 n + 3$
If yes then justify your answer.

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Solution

$A_{n} = (2 n + 3) A_{1} = 5 A_{2} = 7 A_{3} = 9 A_{4} = 11$
$A P$ is $5, 7, 9, 11, . . .$
So, this is $n^{t h}$ term of AP with $a_{1} = 5, d = 2$

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