Question

Вычисли сумму 1+3+5+7+...+2013+2015+2017

Answer 1

1+3+5+7=16+2013+2015+2017

Answer 2

Calculating the Sum of an Arithmetic Series

To calculate the sum of the series 1 + 3 + 5 + 7 + ... + 2013 + 2015 + 2017, we can use the formula for the sum of an arithmetic series:

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

Where: - n = number of terms - first term = 1 - last term = 2017

Applying the Formula

Using the formula, we can calculate the sum as follows:

n = (last term - first term) / common difference + 1

In this case, the common difference is 2 (the difference between consecutive terms).

n = (2017 - 1) / 2 + 1 = 1009

Now, we can calculate the sum using the formula:

Sum = (1009/2)(1 + 2017) = 1014045

Therefore, the sum of the series 1 + 3 + 5 + 7 + ... + 2013 + 2015 + 2017 is 1014045.