Question #22348

Find the Sum of the first 25 terms of the poulation sequence defined by Pn=37+11n

Expert's answer

Notice that the numbers P0, P1, ... constitute arithmetic progression with initial term P0=37 and difference d=11.

Hence the sum of the first 25 terms

S = P0 + P1 + ... + P24 = 25*(P0+P24)/2 = 25*(37+37+11*24)/2 = 25*(37+11*12) = 4225.

Hence the sum of the first 25 terms

S = P0 + P1 + ... + P24 = 25*(P0+P24)/2 = 25*(37+37+11*24)/2 = 25*(37+11*12) = 4225.

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