SOLUTION: How do I find the next two terms of geometric sequence 6250, 5000, 4000,... and also how do I find four geometric means between 4096 and 972. I must show my work and don't know h

Question 169219: How do I find the next two terms of geometric sequence 6250, 5000, 4000,...
and also how do I find four geometric means between 4096 and 972. I must show my work and don't know how to do these.
Please help.
Thanks
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
6,250, 5,000, 4,000, 3,200, 2,560
[each term is multiplied by .8 or divided by 1.25]
----------------------------------------------------------
972/4096=.23730479
x^5=.23730479
x=5th root of .23730479
x=.75 is the multiplier for these 4 middle terms.
Proof
4096*.75=3072*.75=2304*.75=1728*.75=1296*.75=972.
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