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PRINCIPLE OF MATHEMATICAL INDUCTION — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPRINCIPLE OF MATHEMATICAL INDUCTION1 Mark
MCQ
Let $P(n)=5^n-2^n \cdot P(n)$ is divisible by $3 \lambda$ where $\lambda$ and $n$ both are odd positive integers, then the least value of $n$ and $\lambda$ will be.
  • A
    13
  • B
    11
  • ✓
    1
  • D
    5
✓

Answer

Correct option: C.
1
  1. 1
Solution:
$5^n-2^n$ is divisible by $5-2=3$ always... Putting $\mathrm{n}=\lambda=1$ which is the least odd positive integer, this works to be true.
Hence Option C

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