Question

the third term of a Geometric progression is 4 find the product of it's first 5 terms.​

Answer 1

Answer:

Let a be the first term of a G.P. and r be the common ratio.

∴ First five terms of a G.P. are a,ar, ar

2

,ar

3

,ar

4

∴ Third terms =ar

2

=4

Product of first five terms = (a

5

)(r

1+2+3+4

)=(a

5

)(r

10

)

⇒(ar

2

)

5

=4

5