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Principle of Mathematical Induction — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPrinciple of Mathematical Induction1 Mark
MCQ
Let $P(n) = 5^n- 2^n. P (n)$ 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.
$1$
$5^n- 2^n$ is divisible by $5 - 2 = 3$ always$...$
Putting $\text{n}=\lambda=1$ which is the least odd positive integer, this works to be true.
Hence Option $C$

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