Question

find the first term and the common ratio of the GP whose seventh and 12th terms are respectively 192 and 6144​

Answer 1

Answer:

Let the first term of GP be a

Let the common ratio be r

a7=192

a.r^6=192

a = 192/r^6

a12 =6144

a.r^11=6144

192.r^11 = 6144

r^6

192.r^5= 6144

r^5= 32

r= 2

a= 192/64= 3

1st term is 3

the common ratio is 2