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If the coefficients of (2r + 4)th , (r – 2)th terms in the expansion of (1 + x)18 are equal, find r.
Correct answer is '6'. Can you explain this answer?
Verified Answer
If the coefficients of (2r + 4)th, (r –2)thterms in the expansio...
In the expansion of (1+x)18
coefficient of T2r+4 = 18C2r+3
coefficient of Tr−2 = 18Cr−3
Given,
18C2r+3 = 18Cr−3
⇒ 2r−3 = r+3 or 2r+3+r−3 = 18
⇒ r = −6 or 3r = 18 ⇒ r = 6
but r cannot be negative
∴ r = 6
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If the coefficients of (2r + 4)th, (r –2)thterms in the expansion of (1 + x)18are equal, find r.Correct answer is '6'. Can you explain this answer?
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If the coefficients of (2r + 4)th, (r –2)thterms in the expansion of (1 + x)18are equal, find r.Correct answer is '6'. 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 the coefficients of (2r + 4)th, (r –2)thterms in the expansion of (1 + x)18are equal, find r.Correct answer is '6'. 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 the coefficients of (2r + 4)th, (r –2)thterms in the expansion of (1 + x)18are equal, find r.Correct answer is '6'. Can you explain this answer?.
If the coefficients of (2r + 4)th, (r –2)thterms in the expansion of (1 + x)18are equal, find r.Correct answer is '6'. 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 the coefficients of (2r + 4)th, (r –2)thterms in the expansion of (1 + x)18are equal, find r.Correct answer is '6'. 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 the coefficients of (2r + 4)th, (r –2)thterms in the expansion of (1 + x)18are equal, find r.Correct answer is '6'. Can you explain this answer?.
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