Answer: Either 24 or -24
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Step-by-step explanation:
r = common ratio
- first term = 96
- second term = 96r
- third term = 96r*r = 96r^2
Set this equal to the stated third term (6) and solve for r.
96r^2 = 6
r^2 = 6/96
r^2 = 1/16
r = sqrt(1/16) or r = -sqrt(1/16)
r = 1/4 or r = -1/4
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If r = 1/4, then the second term is 96*r = 96*(1/4) = 24
Or
If r = -1/4, then the second term is 96*r = 96*(-1/4) = -24