Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

10, 5, 5/2,...
Find the 6th term.

Answer 1

common ratio (r) =T2÷T1=T3÷T2

5÷10=5/2÷5

r= 1/2

a=10

tn=a.r *(n-1)

tn=10×1/2 *(n-1)

t6=10×1/2 *(6-1)

t6=5/16