Math, asked by prabhpreet60, 26 days ago

The sum of the first three terms of an AP is 30 while their product is 750. Find AP​

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Answered by ayush4388p
1

HOPE YOU WILL GET YOUR SOL.

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Answered by Mysteryboy01
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The sum of the first three terms of an AP is 30 while their product is 750. Find AP

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a-d, a, a+d are the three terms of the AP.

Their sum a-d+a+a+d = 3a = 30, or

a = 30/3 = 10.

(a-d)(a+d)a = 750

a(a^2-d^2) = 750

10(100-d^2) = 750, or

100-d^2 = 75

d^2 = 100–75 = 25,

d = ± 5

So the three terms of the AP are 5, 10 and 15 or

15, 10 and 5.

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