the third term of GP is 5 then the product of 5 term is
Answers
is given that the third term of the G.P is 2.
We know that the general term of an geometric progression with first term a and common ratio r is T
n
=ar
n−1
, therefore,
T
3
=ar
3−1
⇒2=ar
2
......(1)
Now, consider the product of first five terms that is:
a×ar×ar
2
×ar
3
×ar
4
=a
2
r
10
=(ar
2
)
5
=(2)
5
(using(1))
=32
Hence the product of first 5 terms is 32.
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If the third term of a G.P. is 2, then the product of first 5 terms is
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ANSWER
It is given that the third term of the G.P is 2.
We know that the general term of an geometric progression with first term a and common ratio r is T
n
=ar
n−1
, therefore,
T
3
=ar
3−1
⇒2=ar
2
......(1)
Now, consider the product of first five terms that is:
a×ar×ar
2
×ar
3
×ar
4
=a
2
r
10
=(ar
2
)
5
=(2)
5
(using(1))
=32
Hence the product of first 5 terms is 32.
Answered By Anuska