Find the 8th term of the geometric sequence whose common ratio is 2/3 and whose first term is 5.

Answer 1

Geometric sequence: {5rⁿ} where r=2/3

^{8th terms occurs at n=7 since sequence starts at n=0}

^{at n=7: 5*(2/3)^n = 5*(2/3)^7 = 5*(128/2187) = 640/2187}

^{Answer : 640/2187}