Question

Find the sum of the series: 1 + 2 + 3 + .......... + 50 using Gauss method.

• A. 1,275
• B. 1,200
• C. 1,100
• D. 2,000

Answer 1

The correct option is A 1,275

Sum of 'n' series using Gauss method is,
$S_n=\frac{n(n+1)}{2}$
$\therefore$ Given n = 50
So, $\frac{50(50+1)}{2}$
$S_{50}=1,275$