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Sum of n Terms

If a + 1, 3...

Question

If $(a + 1), 3 a, (4 a + 2)$ are in arithmetic progression then the value of $a$ will be

1

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3

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4

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Solution

The correct option is A $3$
$(a + 1), 3 a, (4 a + 2)$ are in arithmetic progression.
Thus, $3 a - (a + 1) = (4 a + 2 - 3 a)$
$\Rightarrow 3 a - a - 1 = a + 2$
$\Rightarrow 2 a - 1 = a + 2$
$\Rightarrow a = 3$

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