Question

For what value of k will the consecutive terms k + 9, 2k -1 and 2k + 7 form an A.P ?

Answer 1

Step-by-step explanation:

As the given terms are in A.P,

So,

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

( As, t2 - t1 = t3 - t2 )

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

or, k - 10 = 8

or, k = 8 + 10

or, k = 18 ANS

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