Find the sum to n terms of the A.P., whose k^thterm is 5k + 1.

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Solution

It is given that the k^th term of the A.P. is 5k + 1.

k^th term = a_k = a + (k – 1)d

∴ a + (k – 1)d = 5k + 1

a + kd – d = 5k + 1

Comparing the coefficient of k, we obtain d = 5

a – d = 1

⇒ a – 5 = 1

⇒ a = 6

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