Question

101+102+103 ... +149+150 Посчитать методом Гаусса

Answer 1

Найдём сумму первого и последнего члена:

101+150=251

Найдём кол-во чисел в ряду:

150-101+1=50         Следовательно пар будет 25(50:2)

S=251*25=6275

Answer 2

To find the sum of consecutive numbers from 101 to 150 using the Gauss summation method, you can apply the following formula:

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

where:

• n is the number of terms (last term - first term + 1),
• first term is the starting number (101 in this case),
• last term is the ending number (150 in this case).

Let's calculate it step by step:

First, find the number of terms: n = last term - first term + 1 n = 150 - 101 + 1 n = 50

Next, calculate the sum using the formula: Sum = (n/2) * (first term + last term) Sum = (50/2) * (101 + 150) Sum = 25 * 251 Sum = 6275

So, the sum of consecutive numbers from 101 to 150 using the Gauss summation method is 6275.