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If 1 + 6 + 11 + 16 + ..........+ x = 148 then x =

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answer is A.

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Detailed Solution

$1 + 6 + 11 + 16 . . . . . + x = 148 a_{n} = x = 1 + (n - 1) 5 = 5 n - 4 \frac{n}{2} (1 + x) = 148 \frac{(x + 4)}{10} (x + 1) = 148 (x + 4) (x + 1) = 1480 x = 36$

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