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nth Term of A.P

Find the valu...

Question

Find the value of p, if the numbers x, 2x + p, 3x + 6 are three consecutive terms of an A.P..

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Solution

$2 (2 x + o) = x + 3 x + 6$
$4 x + 2 p = 4 x + 6$
$2 p = 6$
$p = 3$ .

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