If 3 + k, 18 – k, 5k + 1 are in A.P. then find k? – InterviewSolution

1.

If 3 + k, 18 – k, 5k + 1 are in A.P. then find k?

Answer»

3 + k, 18 – k, 5k + 1 are in AP

∴ t₂ – t₁ = t₃ – t₂ (common difference is same)

18 – k – (3 + k) = 5k + 1 – (18 – k)

18 – k – 3 – k = 5k + 1 – 18 + k

15 – 2k = 6k – 17

32 = 8k

k = 32/8 = 4

The value of k = 4

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