Q66.The sum of the series 2 . 20๐ถ0 + 5 . 20๐ถ1 + 8 . 20๐ถ2 + 11 . 20๐ถ3 + . . . . . . . + 62 . 20๐ถ20 is equal to (1) 226 (2) 225 (3) 224 (4) 223
What This Question Tests
This problem requires recognizing and applying standard identities for sums involving binomial coefficients to simplify a complex series into a solvable form.
Concepts Tested
Formulas Used
ฮฃ C(n,r) = 2^n
ฮฃ r * C(n,r) = n * 2^(n-1)
r * nCr = n * (n-1)C(r-1)
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๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Summation of series involving binomial coefficients
- Year
- 2019
- Shift
- 08 Apr Shift 1
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Maths Ch 8: Binomial Theorem
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