Question

find the 12th term of gp whose 8th term 192 and common is 2​

Answer 1

Given common ratio(r) = 2

8th term of an GP = 192

=> ar^7 = 192 => a(2^7) = 192

=> a(128) = 192 => a = 3/2

∴ 12th term of an GP = ar^11 = 3/2 (2^11) = 3072

Answer 2

Answer:

Given that 8th term of a GP is 192

And common ratio is 2

if a is 1st term and r is common Ratio then we know that tn=ar power (n-1)

Here tn=192 and r=2 and n=8

so a=192/128=3/2

Now 12th term will be

tn=(3/2)*2 to the power 11

answer will be 2472