Question

1+4+7+...+103 метод Гаусса

Answer 1

Как то так!!! Надеюсь понятно!

Answer 2

The sum of an arithmetic series can be calculated using the Gauss formula, which is also known as the arithmetic series formula. The formula is:

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

where:

• Sum is the sum of the series.
• n is the number of terms in the series.
• The first term is the first number in the series.
• The last term is the last number in the series.

In your case, you want to find the sum of the series 1 + 4 + 7 + ... + 103, where the first term is 1 and the last term is 103. The common difference between consecutive terms is 3 (i.e., 4 - 1 = 3, 7 - 4 = 3, and so on).

Let's find the number of terms (n) first: last term = 103 first term = 1 common difference = 3

To find the number of terms (n) in an arithmetic series, you can use the formula: n = (last term - first term) / common difference + 1

n = (103 - 1) / 3 + 1 n = 34

Now, we can find the sum (Sum) using the Gauss formula: Sum = (n / 2) * (first term + last term) Sum = (34 / 2) * (1 + 103) Sum = 17 * 104 Sum = 1768

So, the sum of the series 1 + 4 + 7 + ... + 103 using the Gauss method is 1768.