Question

While trying to express $7^3$ as the sum of consecutive odd numbers, what is the number, $7^3$ should be divided by to find the middle number?

• A. 47, 49
• B. 48, 50
• C. 49
• D. 46, 48

Answer 1

Answer: (C)

49

The sum of 7 consecutive odd numbers gives $7^3$.
To find the odd numbers whose sum is $7^3$, we first divide $7^3$ by 7.
$\Rightarrow \frac{7^3}{7}=7^2=49$
Since 49 is an odd number it is the middle number of the series.