Q63.The sum of the infinite series 1 + 65 + 1262 + 2263 + 3564 + 5165 + 7066 + … is equal to: (1) 425 (2) 429 216 216 (3) 288 (4) 280 125 125
What This Question Tests
This question involves finding the sum of an infinite series which combines an arithmetic progression in the numerator with a geometric progression in the denominator, typically solved using the method for AGP or differentiation/integration of geometric series.
Concepts Tested
Formulas Used
S = a / (1-r) for GP
S = a / (1-r) + dr / (1-r)^2 for AGP
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Sum of infinite series
- Year
- 2022
- Shift
- 29 Jun Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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