Question

If n is a natural number then ${\left(\frac{n+1}{2}\right)}^n$ ≥ n ! is true

when

• A. n > 1
• B. $n\ge$ 1
• C. n > 2
• D. $n\ge 2$

Answer 1

The correct option is B

$n\ge$ 1

Check through option, the condition

${\left(\frac{n+1}{2}\right)}^n$ ≥ n ! is true for n ≥ 1.