Five numbers are in A.P., whose sum is 25 and product is 2520. If one of these five numbers is -1/2, then the greatest number amongst them is

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MARKS Content Team · Accepted Answer

Correct answer: (D) 16. Let term be a-2d,a-d,a,a+d,a+2d Sum =25⇒5a=25⇒a=5 Product =2520 5-2d5-d55+d5+2d=2520 ⇒25-4d^225-d^2=504 ⇒625-100d^2-25d^2+4d^4=504 ⇒4d^4-125d^2+625-504=0 ⇒4d^4-125d^2+121=0 ⇒4d^4-121d^2-4d^2+121=0 ⇒d^2-14d^2-121=0 ⇒d=±1,d=∓11/2 d=±1, does not give -1/2 as a term ∴d=11/2 ∴ Largest term =5+2d=5+11=16

Five numbers are in $A . P .,$ whose sum is $25$ and product is $2520 .$ If one of these five numbers is $- \frac{1}{2},$ then the greatest number amongst them is

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Five numbers are in A.P., whose sum is 25 and product is 2520. If one of these five numbers is -12, then the greatest number amongst them is

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Five numbers are in $A . P .,$ whose sum is $25$ and product is $2520 .$ If one of these five numbers is $- \frac{1}{2},$ then the greatest number amongst them is