Q54.If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1 + x)n+5 are in the ratio 5 : 10 : 14, then the largest coefficient in the expansion is : (1) 462 (2) 330 (3) 792 (4) 252
What This Question Tests
This question tests the ability to work with binomial coefficients, using the ratio of consecutive terms in an expansion to determine the value of 'n' and subsequently find the largest coefficient.
Concepts Tested
Formulas Used
Coefficient of (r+1)th term = nCr
nCr/nC(r-1) = (n-r+1)/r
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficients of binomial expansion
- Year
- 2020
- Shift
- 04 Sep Shift 2
- Q Number
- Q54
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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