Arithmetic-Geometric Series Sum

Rarely Tested

Sum of AGP: $$ S = a + (a+d)r + (a+2d)r^2 + \cdots + [a+(n-1)d]r^{n-1} $$
For $$ r \neq 1 $$:
$$ S = \frac{a}{1-r} + \frac{dr(1 - r^{n-1})}{(1-r)^2} - \frac{[a+(n-1)d] r^n}{1-r} $$
No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.