Question

In a GP the 7th term is 8 times the 4th term and the 5th term is 12 and find the GP

Answer 1

Solution:-
Given : The 7th term of the GP is 8 times the 4th term and 5 th term is 12.
8ar³ = ar⁶
r³ = 8
r =2
Hence the common ratio is 2.
Now, as r = 2 and the 5th term is 12,
ar⁴ = 12
(2⁴)a = 12
16a = 12
a =12/16
a = 3/4
Therefore the required GP is 3/4, 3/2, 3, 6, 12, 24, 48.....
Answer.

Answer 2

Answer:

8ar³ = ar⁶

r³ = 8

r =2

Hence the common ratio is 2.

Now, as r = 2 and the 5th term is 12,

ar⁴ = 12

(2⁴)a = 12

16a = 12

a =12/16

a = 3/4

Therefore the required GP is 3/4, 3/2, 3, 6, 12, 24, 48.....