Question

Assertion :$1,2,4,8,....$ is a G.P.,$4,8,16,32$ is a G.P. and $1+4,2+8,4+16,8+32,....$ is also a G.P Reason: Let general term of a G.P. with common ratio r be $T_{k+1}$ and general term of another G.P. with common ratio $r$ be $T_{k+1}^{\prime }$, then the series whose general term $T{"}_{k+1}=T_{k+1}^{\prime }+T_{k+1}$ is also a G.P. with common ratio $r$.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Assertion:

$1,2,4,8$ is a G.P. with common ratio $2$

$4,8,16,32$ is also a series with common ratio $2$

If both the series have same common ration then, the sum of elements of series will also be a G.P. with the same common ratio.

i.e. $1+4,2+8,4+16,....$

$=5,10,20,40,....$

will also be G.P. with common ratio $2$.

Reason given is the correct explanation.