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PRINCIPLE OF MATHEMATICAL INDUCTION — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPRINCIPLE OF MATHEMATICAL INDUCTION1 Mark
MCQ
$7^{2 n}+3^{n-1} \cdot 2^{3 n-3}$ is divisible by:
  • A
    24
  • ✓
    25
  • C
    9
  • D
    13
✓

Answer

Correct option: B.
25
  1. 25
Solution:
Let $\mathrm{P}(1)=7^{2 \mathrm{n}}+3^{n-1} \cdot 2^{3 n-3}$
$P(1)=50 \Rightarrow$ Divisible by 25

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