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Geometric Progression

For what valu...

Question

For what value of $k$ will consecutive term $2 k + 1, 2 k + 3$ and $5 k - 1$ form an A.P?

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Solution

$(2 k + 3) - (2 k + 1) = (5 k - 1) - (2 k + 3)$
$2 = 3 k - 4$
$3 k = 6$
$k = 2$

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