Question

Identify the type of the following sequence:
$1+2.2+{3.2}^2+.....+100.2^{99}$

• A. AP
• B. GP
• C. HP
• D. AGP

Answer 1

The correct option is D AGP

Here, in the series:

$1,2,3,...,100$ are in A.P.

and $1,2^1,2^2,2^3,.....,2^{99}$ are in G.P.

$\therefore$ The series is in A.G.P.

Hence, the answer is AGP.