Question

Determine the 12 th term of a g.p. whose 8 th term is 192 and common ratio is 2.

Answer 1

let a is the first term
given that 8th term =192
common ratio = 2
ar^7 = 192
a (2)^7 =192
128a = 192
a=1.5
therefore 12th term = ar^11
=1.5 (2) ^11
= 2048×1.5
=3072