Question

Вычислите75+76+77+...+2013

Answer 1

Ответ составит ровно 2241

Answer 2

To find the sum of the sequence from 75 to 2013 (inclusive) with a common difference of 1, we can use the formula for the sum of an arithmetic series:

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

where n is the number of terms in the sequence.

First, we need to find the number of terms (n). We can use the formula for finding the number of terms in an arithmetic sequence:

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

Now, let's calculate it step by step:

First term (a) = 75 Last term (l) = 2013 Common difference (d) = 1

n = (2013 - 75) / 1 + 1 n = 1939 + 1 n = 1940

Now, we can calculate the sum:

Sum = (n/2) * (first term + last term) Sum = (1940/2) * (75 + 2013) Sum = 970 * 2088 Sum = 2026560

So, the sum of the sequence from 75 to 2013 is 2,026,560.