Math, asked by maitjibs, 11 months ago

help me to solve this question​

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Answered by Anonymous
2

SEE THE AATACHMENT YOUR ANSWER IS THIS AND I THINK IT IS CORRECT

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Answered by Anonymous
4

Answer:

A geometric progression can be written as:

a, ar, ar²

Product is 3375

(a)(ar)(ar²) = 3375

a^3 r^3 = 3375 [take the cube root]

ar = 15

So the sequence can be written as:

15/r, 15, 15r

Sum is 65

15/r + 15 + 15r = 65 [Multiply by r to get rid of fraction]

15 + 15r + 15r^2 = 65r [Collect like terms]

15r^2 - 50r + 15 = 0 [Divide by five to make the numbers easier]

3r^2 - 10r + 3 = 0 [Factor]

(3r - 1)(r - 3) = 0

r = 1/3, 3

This r gives us a sequence of:

5, 15, 45

So 5 is the Smallest Number among them .

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