The sum of three consecutive terms in a geometric progression is .
If is added to the first and the second terms and is subtracted from the third, the resulting new terms are in arithmetic progression.
Then the lowest of original term is
Explanation of the correct option:
Let be the three consecutive terms in G.P.
Since is an A.P.
Substitute the value of in equation ,
Thus, or .
If then ,
So, the series is
If then ,
So, the series is
Therefore the lowest term is .
Hence, option (B) is the correct option.