Question

K+5,-1 and 2k-1 are consecutive terms of an arithmetic sequence, find k=

Answer 1

Answer:

K + 5, -1 and 2k - 1 are consecutive terms of AP

a2 - a1 = d , a3 - a2 = d

-1 - (K + 5) = d , 2k - 1 - (-1) = d

So, -1 - (K + 5) = 2k - 1 - (-1)

-1 - K - 5 = 2k - 1 + 1

-6 - K = 2k

-6 = 2k + k

-6 = 3k

-6/3 = k

or, k = -6/3

i.e., k = - 2

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