Question
1+2+3+...+230
Use the method of Gauss to find the sum
Use the method of Gauss to find the sum
Answers
GPT 3.5
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.
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.