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Find the sum of n terms of A.P. whose rth term is 2r + 3.

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Find the sum of n terms of A.P. whose rth term is 2r + 3.

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Given,Tr = 2r + 3

Then   Tn = (2n + 3)

Hence, T1 =2 × 1 +3 = 2 + 3 = 5

and  T2 = 2 × 2 + 3 = 4 + 3 =7

Common difference

d = T2 – T1 = 7 – 5 = 2

∴ Sum of n terms,

Hence, sum of n terms is n (n + 4).

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