Find in terms of a & pi, the sum of the first 50 terms of the series: a+pi, a^2+2pi, a^3+3pi...where a is a fixed real number.

Answer 1

treat as two series , then take the sum of the two

geometric ... a, a^2, a^3, ... , a^49, a^50

arithmetic ... π, 2π, 3π, ... , 49π, 50π