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