Q83.If 2×3×4 1 + 3×4×51 + 4×5×61 + … + 100×101×102 1 = 101k , then 34k is equal to _______.
What This Question Tests
This question tests the ability to decompose a rational function into partial fractions and recognize a telescoping sum to find the sum of the series.
Concepts Tested
Formulas Used
1/(n(n+1)(n+2)) = (1/2) * [1/(n(n+1)) - 1/((n+1)(n+2))]
📚 NCERT Sections This Tests
3.24 — Consider A Certain Reaction A ® Products With K = 2.0 × 10 –2S–1. Calculate
Chemistry Class 11 · Chapter 3
3.24 Consider a certain reaction A ® Products with k = 2.0 × 10 –2s–1. Calculate the concentration of A remaining after 100 s if the initial concentration of A is 1.0 mol L–1.
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
3.23 — The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 × 10–5S–1
Chemistry Class 11 · Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 × 10–5s–1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Summation of Series
- Year
- 2022
- Shift
- 29 Jul Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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