The sum of three numbers in g.p is 70 if the two extremes by multiplied each by 4 and the mean by 5 the products are in ap
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let the 3 nos be a , ar and ar²given that the sum of no's is 70there for a(1+r+r²) =70 .also given that 4a,5ar and 4ar² in AP⇒2(5ar)=4a+4ar²⇒5r=2+2r²⇒2r²-5r+2=0
r=2 or 1/2
from(i) we geta=10 at r=2and a =40 at r=1/2
where a=10 and r=2 , the numbers are 10, 20, ,40
and when a=40 and r =1/2the numbers are 40,20,10
hence the numbers are 10,20,40
r=2 or 1/2
from(i) we geta=10 at r=2and a =40 at r=1/2
where a=10 and r=2 , the numbers are 10, 20, ,40
and when a=40 and r =1/2the numbers are 40,20,10
hence the numbers are 10,20,40
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0
Answer:
Three number Are in Gp whose sum = 70.
the extremes are multiply by 4 and the middle
by 5 the results are in Ap
Step-by-step explanation:
yes
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