the sum of 3 terms in Gp is 14 & their product is 64, find them
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Answer:
Numbers are 2,4,8....
Step-by-step explanation:
Given that,
sum of the numbers=14
a/r+a+ar=14
a/r×a×ar=64
a³=64
a³=4³
a=4
now, substitute a value in the above equation,
a+ar+ar²=14r
4r²-10r+4=0
2r²-5r+2=0
2r(r-2)-1(r-2)=0
r=2,1/2
substitute these values,
we get,
The numbers are 2,4,8....
Hope it helps you frnd....,..
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