Q83.Let α = ∑nr=0 (4r2 + 2r + 1)nCr and β = (∑nr=0 r+1nCr ) _______
What This Question Tests
This problem requires advanced techniques for summing series involving binomial coefficients, specifically using properties like r²nCr and (r+1)nCr, which often involve differentiation or specific identities related to binomial expansions.
Concepts Tested
Formulas Used
(1+x)^n = ΣnCr x^r
r nCr = n n-1Cr-1
📚 NCERT Sections This Tests
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
8.1 — What Is Meant By The Following Terms ? Give An Example Of The Reaction In
Chemistry Class 12 · Chapter 8
8.1 What is meant by the following terms ? Give an example of the reaction in each case. (i) Cyanohydrin (ii) Acetal (iii) Semicarbazone (iv) Aldol (v) Hemiacetal (vi) Oxime (vii) Ketal (vii) Imine (ix) 2,4-DNP-derivative (x) Schiff’s base
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Summation of series involving binomial coefficients
- Year
- 2024
- Shift
- 08 Apr Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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