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Principle of Mathematical Induction — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPrinciple of Mathematical Induction1 Mark
MCQ
For a positive integer $n,$ let $\text{a(n)} =1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+…+\frac{1}{\text{n.}} $ Then,
  • ✓
    $a(100) ≤ 100$
  • B
    $a(100) >100$
  • C
    $a(200) ≤ 100$
  • D
    None of these
✓

Answer

Correct option: A.
$a(100) ≤ 100$

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