Which of the following three numbers, inserted between 16 and .0625 form a series of 5 consecutive terms in a geometric sequence? Select all that apply
2 answers
nvm got it
.0625 = 1/16
so, 16r^4 = 1/16
r^4 = 1/256 = 1/2^8
r = 1/2^2 = 1/4
So, the 5 terms are
16, 4, 1, 1/4, 1/16
so, 16r^4 = 1/16
r^4 = 1/256 = 1/2^8
r = 1/2^2 = 1/4
So, the 5 terms are
16, 4, 1, 1/4, 1/16
1 answer