Question

If a+4, 5a, 7a+2 are in an A.P., find the value of a​

Answer 1

Answer:

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Answer 2

As we know that :

Sum of A.P. =

$\frac{n}{2} (a + l)$

According to the question :

$(a + 4) + 5a + (7a + 2) = \frac{3}{2} (a + 4+ 7a + 2) \\ \\ = > 13a + 6 = \frac{3}{2} (8a + 6) \\ \\ = > 26a + 12 = 24a + 18 \\ \\ = > 2a = 6 \\ \\ = > a = 3$

So, the value of a will be 3

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