Question -
Answer -
Given, the first termof the G.P is a and the last term is b.
Thus,
The G.P. is a, ar, ar2, ar3,… arn–1, where r is thecommon ratio.
Then,
b = arn–1 … (1)
P = Product of n terms
= (a) (ar)(ar2) … (arn–1)
= (a × a ×…a)(r × r2 × …rn–1)
= an r 1+ 2 +…(n–1) … (2)
Here, 1, 2, …(n –1) is an A.P.
And, the product of nterms P is given by,