Q65.Let f(x) = 2xn + λ, λ ∈R, n ∈N, and f(4) = 133 , f(5) = 255 . Then the sum of all the positive integer divisors of (f(3) −f(2)) is (1) 61 (2) 60 (3) 58 (4) 59
What This Question Tests
This question requires determining the explicit form of a polynomial function from given values, then calculating a specific difference and finding the sum of its positive integer divisors. It combines algebra with number theory concepts.
Concepts Tested
Formulas Used
a^n - b^n = (a-b)(a^(n-1) + ... + b^(n-1))
📚 NCERT Sections This Tests
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5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- General term of a sequence
- Year
- 2023
- Shift
- 25 Jan Shift 2
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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