A(n) = –8 • (–1 over 4)n–1

Question

 Write a rule and find the fifth of the geometric sequence for which the first term is -8 and the common ratio is -1/4.

Answer 1

an=-8(-1/4)^(n-1)

a5 = -8(-1/4)^4 = -8/4^4 = -8/16(16) = -1/32 = 5th term of the GP with r=-1/4, a1=-8