Q66.If ar is the coefficient of x10−r in the Binomial expansion of (1 + x)10 , then ∑10r=1 r3( ar−1 2 (1) 4895 (2) 1210 (3) 5445 (4) 3025
What This Question Tests
This question requires recognizing and simplifying a summation involving powers of r and binomial coefficients, which involves properties of binomial coefficients and differentiation/integration techniques or direct identities.
Concepts Tested
Formulas Used
Coefficient of x^(10-r) in (1+x)^10 is C(10, 10-r) = C(10, r)
r * C(n,r) = n * C(n-1, r-1)
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Coefficients in binomial expansion
- Year
- 2023
- Shift
- 25 Jan Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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