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If sum of 5 consecutive terms of 'an A.P is 25 & product of these terms is 2520. If one of the terms is – 1/2 then the value of greatest term is
  • a)
  • b)
    16
  • c)
    5
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If sum of 5 consecutive terms of an A.P is 25 & product of these t...
Let terms be a – 2d, a –d, a, a + d , a + 2d .
sum = 25 
⇒  5a = 25
⇒ a = 5
Product = 2520
⇒ (5–2d) (5 – d) 5(5+d)  (5+2d) =2520
⇒ (25 - 4d2) (25 - d2) = 504
⇒ 625 -100d2 - 25d2 + 4d4 = 504
⇒ 4d4 - 125d2 + 625 -504 = 0
⇒ 4d4 - 125d2 + 121 = 0
⇒ 4d4 - 121d2 - 4d2 +121 = 0
⇒ (d2-1) (4d2 - 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    
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Most Upvoted Answer
If sum of 5 consecutive terms of an A.P is 25 & product of these t...
Let terms be a – 2d, a –d, a, a + d , a + 2d .
sum = 25 
⇒  5a = 25
⇒ a = 5
Product = 2520
⇒ (5–2d) (5 – d) 5(5+d)  (5+2d) =2520
⇒ (25 - 4d2) (25 - d2) = 504
⇒ 625 -100d2 - 25d2 + 4d4 = 504
⇒ 4d4 - 125d2 + 625 -504 = 0
⇒ 4d4 - 125d2 + 121 = 0
⇒ 4d4 - 121d2 - 4d2 +121 = 0
⇒ (d2-1) (4d2 - 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    
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If sum of 5 consecutive terms of an A.P is 25 & product of these terms is 2520. If one of the terms is – 1/2 then the value of greatest term isa)b)16c)5d)7Correct answer is option 'B'. Can you explain this answer?
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If sum of 5 consecutive terms of an A.P is 25 & product of these terms is 2520. If one of the terms is – 1/2 then the value of greatest term isa)b)16c)5d)7Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If sum of 5 consecutive terms of an A.P is 25 & product of these terms is 2520. If one of the terms is – 1/2 then the value of greatest term isa)b)16c)5d)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of 5 consecutive terms of an A.P is 25 & product of these terms is 2520. If one of the terms is – 1/2 then the value of greatest term isa)b)16c)5d)7Correct answer is option 'B'. Can you explain this answer?.
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