Question

find the value of k if k + 2, 4k- 6 and 3 k -2 are the three consecutive term of an ap

Answer 1

value of k is 3 hope it will help you

Answer 2

common difference between consecutive terms are same...
hence
$3k - 2 - (4k - 6) = 4k - 6 - (k + 2) \\ - k + 4 = 3k - 8 \\ 12 = 4k \\k = 3$

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