Question

Identify the type of the following sequence:
$\sum _{i=1}^{\infty }\frac{i}{7^i}$

• A. AP
• B. GP
• C. HP
• D. AGP

Answer 1

The correct option is D AGP

Here, increment of $i$ indicates A.P. with common difference $1$

and $7^i$ indicates G.P. with common ratio $7$

Hence, the series is in A.G.P