Question

Найти сумму всех отрицательных чисел арифметической прогрессии

Answer 1

Разность прогрессии равна: -16,9-(-17,2)=17,2-16,9=0,3
найдем количество отрицательных членов прогрессии из формулы :
0=-17.2+(n+1)0.3=-17.2+0.3n+0.3=-16.9+0.3n
n=16.9/0.3=56.3(3), но n должно быть целым, поэтому отбрасываем дробную часть, получаем n=56
найдем сумму 56-и членов данной прогрессии по формуле :
получим 
ответ: -501,2

Answer 2

Разность прогрессии равна: -16,9-(-17,2)=17,2-16,9=0,3
найдем количество отрицательных членов прогрессии из формулы :
0=-17.2+(n+1)0.3=-17.2+0.3n+0.3=-16.9+0.3n
n=16.9/0.3=56.3(3), но n должно быть целым, поэтому отбрасываем дробную часть, получаем n=56
найдем сумму 56-и членов данной прогрессии по формуле :
получим 
ответ: -501,2

Answer 3

Calculating the Sum of Negative Numbers in an Arithmetic Progression

To find the sum of all negative numbers in an arithmetic progression, we can use the formula for the sum of the first n terms of an arithmetic progression. The sum of the first n terms of an arithmetic progression is given by:

S_n = n/2 * (a_1 + a_n)

Where: - S_n is the sum of the first n terms - n is the number of terms - a_1 is the first term - a_n is the nth term

To find the sum of all negative numbers, we need to determine the number of negative terms and their sum.

Determining the Number of Negative Terms

To determine the number of negative terms in the arithmetic progression, we can use the formula for the nth term of an arithmetic progression:

a_n = a_1 + (n-1)d

Where: - a_n is the nth term - a_1 is the first term - n is the number of terms - d is the common difference

By setting a_n < 0 and solving for n, we can find the number of negative terms.

Finding the Sum of Negative Terms

Once we have the number of negative terms, we can use the formula for the sum of the first n terms to find the sum of the negative numbers.

Let's calculate the sum of the negative numbers in the arithmetic progression using the provided information.

Calculation

Based on the provided information, we don't have specific values for the arithmetic progression (e.g., first term, common difference). Without these specific values, it's not possible to calculate the sum of the negative numbers in the arithmetic progression.

If you have specific values for the arithmetic progression (e.g., first term, common difference), please provide them so that we can proceed with the calculation.

If you have any other questions or need further assistance, feel free to ask!