Question

If a - 14, a - 2, a + 34 are in G.P, find the value of a.

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Answer 1

${(a-2)}^2$ = (a - 14) (a + 34)

$a^2$ - 4a + 4 = $a^2$ + 20a - (14 $\times$ 34)

24a = (14 $\times$ 34) + 4

a = $\frac{480}{24}$

= 20