Q64.If the coefficients of x4, x5 and x6 in the expansion of (1 + x)n are in the arithmetic progression, then the maximum value of n is: (1) 7 (2) 21 (3) 28 (4) 14
What This Question Tests
This problem tests the application of binomial coefficients and the property of arithmetic progression for three consecutive coefficients. It involves solving an inequality derived from the AP condition to find the maximum value of n.
Concepts Tested
Formulas Used
Coefficient of x^r in (1+x)^n is C(n, r)
2A = B + C (for AP)
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficients in binomial expansion
- Year
- 2024
- Shift
- 04 Apr Shift 2
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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