ARITHMETICO - GEOMETRIC SERIES

Series- ak + (a+d)kr + (a+2d) kr2+....+  [a+(n-1)d]krm

Here each term of the series has 2 parts, first part (black in color) progresses in AP, whereas the second part progresses in GP. a is the first term of AP part & k is the first term of GP part. d is common difference and r is common ratio.