Q82.If ( α+11 + α+21 + … … + α+10121 ) −( 2⋅11 + 4⋅31 + 6⋅51 + … . . + 2024⋅20231 ) = 20241 , then α is equal to________
What This Question Tests
This question tests the ability to recognize patterns in series, expand them into simpler summations, and apply basic arithmetic progression summation formulas. Careful manipulation of terms is required to simplify the expression.
Concepts Tested
Formulas Used
Σ(a+k) = na + Σk
Σ(n/(n-1)) = Σ(1 + 1/(n-1))
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Summation of series
- Year
- 2024
- Shift
- 09 Apr Shift 2
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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