find the first term and the common ratio for the geometric sequence. Round approximations to the nearest hundredth. find the first term and the common ratio for the geometric sequence. Round approximations to the nearest hundredth. A2=64, a5 = 8 Solution we know that nth term of GP is given by tn =arn-1 t5 =ar4 so, ar4 = 8-------------1 t2 =ar ar=64--------------------------2 from eqn (1) & 2 r3 =1/8 r=1/2 =0.5 put it in eqn (2) we get a=128.

1. find the first term and the common ratio for the geometric sequence. Round approximations to
the nearest hundredth. find the first term and the common ratio for the geometric sequence.
Round approximations to the nearest hundredth. A2=64, a5 = 8
Solution
we know that
nth term of GP is given by
tn =arn-1
t5 =ar4
so, ar4 = 8-------------1
t2 =ar
ar=64--------------------------2
from eqn (1) & 2
r3 =1/8
r=1/2 =0.5
put it in eqn (2)
we get a=128