Question

if K, 2 k - 1 and 2 k + 1 are 3 consecutive terms of an AP the value of k​

Answer 1

$hey \: mate \: thank \: for \: the \: question \\ hope \: it \: helps \\ since \: the \: terms \: are \: in \: ap \\ a2 - a1 = a3 - a2 \\ (2k - 1) - k = (2k + 1) - (2k - 1) \\2 k - 1 - k = 2k + 1 - 2 k + 1 \\ k - 1 = 2 \\ k = 2 + 1 \\ k = 3$