1+2+3+...+230

Question

Use the method of Gauss to find the sum

Answer 1

To find the sum of the sequence 1+2+3+...+230, we can use the method of Gauss.

The formula to find the sum of an arithmetic series is given by:

Sum = (n/2)(first term + last term)

In this case, the first term (a) is 1 and the last term (l) is 230.

Using the formula, we have:

Sum = (230/2)(1 + 230)
= 115(231)
= 26565

Therefore, the sum of the sequence 1+2+3+...+230 is 26,565.