Q82.Let α = 12 + 42 + 82 + 132 + 192 + 262 + … … . upto 10 terms and β = ∑10n=1 n4 . If 4α −β = 55k + 40, then k is equal to _______. 6
What This Question Tests
This question tests the ability to find the general term of a series by analyzing differences, sum the series, and then relate it to the sum of fourth powers of natural numbers.
Concepts Tested
Formulas Used
Σn² = n(n+1)(2n+1)/6
Σn⁴ = n(n+1)(2n+1)(3n²+3n-1)/30
📚 NCERT Sections This Tests
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2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
3.10 — In A Reaction Between A And B, The Initial Rate Of Reaction (R0) Was Measured
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8.17 Complete each synthesis by giving missing starting material, reagent or products
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Sum of series and general term
- Year
- 2024
- Shift
- 30 Jan Shift 1
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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