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If the sum of three numbers in A.P. is 24 and their product is 440, then common difference of the
A.P. can be
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a
3
b
2
c
5
d
-5
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Correct option is A
Let the three number in A.P. be a–d, a, a+d.Then 24=(a−d)+a+(a+d)=3a⇒ a=8Also, 440 = (a – d) a(a + d) = 8(64 – d2 )⇒ d2=64−55=9⇒d=±3. ∴ d can be 3.Similar Questions
Five numbers are in A.P whose sum is 25 and product is 2520 if one of these five numbers is then the greatest number amongst them is
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