If $(x + 1), 3 x a n d (4 x + 2)$ are first three terms of an AP then its $5^{t h}$ term is -

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Solution

The correct option is C
24

$(x + 1), 3 x, (4 x + 2)$ are in AP

$3 x - (x + 1) = (4 x + 2) - 3 x$

$x = 3$

The first three terms are 4, 9 and 14.

$a = 4, d = 9 - 4 = 5$

$t_{5} = a + 4 d = 4 + 4 (5) = 24$

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