The nth term of an A.P. is given by (-4n+15). Find the sum of first 20 terms of this A.P.

We have,

Tn = (-4n + 15)


T1 = -4 + 15 = 11


T2 = -4 * 2 + 15 = 7


T3 = -4 * 3 + 15 = 3


The first term is 11 and the common difference is, d = T2 – T1 = 7 – 11 = -4


The sum of first 20 terms, S20 = [2 * 11 + (20 – 1) (-4)]


= 10 (22 – 76) = -540


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