Question

for what value of k will k+9,2k_1and2k+7 are the consecutive terms of an ap

Answer 1

Hi!

Since the terms k+9, 2k-1 and 2k+7 are in AP, therefore there common difference is same.

A1=k+9, A2=2k-1, A3=2k+7

A2-A1=A3-A2

2k-1 - (k+9) = 2k+7 - (2k-1)

2k - 1 -k -9 = 2k +7 - 2k +1

k - 10 = 8

k = 18

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