Question

For a G.P a=3 and t^7 =192 then find r

Answer 1

Answer:

ANSWER

a

n

=ar

n−1

a

3

=ar

2

=24...(1)

a

6

=ar

5

=192...(2)

dividing (2) by (1) we get

ar

2

ar

5

=

24

192

r

3

=8⇒r=2

From (1)

ar

2

=24

a=

2

2

24

=6

∴a

10

=(6)(2)

10−1

=3072