Write a formula for the general term of the geometric sequen

Write a formula for the general term of the geometric sequence. Then use the formula for a_n to find a_7, the seventh term of the sequence. 27, 9, 3, 1, ... a_n = a_7 =

Solution

27,9,3,1,.......

a₁=27

common ratio,r= 9/27=1/3

and nth term of GP is given by ,a_n=a₀r^n-1

    therefore a_n= 27(1/3)^n-1

a₇=27(1/3)^7-1= 27(1/3)⁶=1/27