Question

if the 6th term of GP is 32 and it's 8th term is 128 then what is the common ratio of GP


pls ans fast​

Answer 1

Answer:

The 6th term of a gp is 32 and its 8th term is 128, then common ratio of the gp is. pleasr do follow me buddy

Answer 2

Let say GP is

a , ar , ar² .......

nth term of a gp = arⁿ⁻¹

6th term = ar⁵ = 32

8 th term = ar⁷ = 128

ar⁷ / ar⁵ = 128/32

=> r² = 4

=> r = ± 2

common ratio of the gp is 2 or - 2

gp can be

1 , 2 , 4 , 8 , 16 , 32 , 64 , 128

or

-1 , 2 , - 4 , 8 , - 16 , 32 , - 64 , 128