The 7th term of a g.p is 8th times of the 4th term .find the series if its 5th team is 48
given: ar^4 = 48
ar^6 = (1/8)ar^3
8ar^6 = ar^3
8r^3 = 1
r = 1/2
back into ar^4 = 48
a(1/16) = 48
a = 768
series is
768 + 384 + 192 + 96 + 48 + 24 + 12 + ....
Check:
is the 5th term 48 ? YES
is the 7th term 1/8 of the 4th ?
is 12 =(1/8)(96) ?, YES
My answer is correct