The sum 53

The sum of three numbers in a geometric progression is 35 and their product is 1,000. Find the numbers.

Final Answer:

a =  5
b =  10
c =  20

Step-by-step explanation:

a,b,c b=qa c = q b = q2 a a+b+c=35 a b c=1000  1000 = 2 × 2 × 2 × 5 × 5 × 5 = 23 × 53  = 103  q=2 a=5 b=q a=2 5=10 c=q b=2 10=20   Verifying Solution:   p=a b c=5 10 20=1000 s=a+b+c=5+10+20=35



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