Question

The first term of a G.P is 2 and sum to infinity is 6. Find its 8th term.​

Answer 1

Step-by-step explanation:

Solution

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General term rth term of

G.P=ar

n−1

⇒ ar=2

Infinite sum =

1−r

a

=8

⇒ a=8−8r

⇒

r

2

=8−8r

⇒ 2=8r−8r

2

⇒ 4r

2

−4rH=0

⇒ 4r

2

−2r−2rH=0

⇒ (2r−1)

2

=0

⇒ r=

2

1

⇒ a=8−4=4