Find the common ratio, r, for the geometric sequence that has a1= 100 and a8= 25/32

2 answers

a8 = a1*r^7, so
r^7 = 100/(25/32) = 3200/25

an amusing little sequence, no?
r = 0.5
its
r^7= (25/32)/100
r = 7root [(25/32)/100}
r = 1/2 or 0.5
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