State the following statement is True or False
$301$ is a term of AP $5, 11, 17, 23, 29$ ...

True

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False

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Solution

The correct option is B False
$a = 5, d = 6$
$t_{n} = a + (n - 1) d$
$301 = 5 + (n - 1) 6$
$296 = (n - 1) 6$
$n - 1 = 49.333$
$n = 50.33$
Thus, n is not a whole number. Hence, the term doesn't belong to the given series.

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