Can you find a quick and elegant way to add the numbers from 1 to 36 ? In other words, what is the sum you obtain in the following case: 1 + 2 + 3 + ....... + 36 =
550
628
666
664
To find the sum of the numbers from 1 to 36, there is a formula that can be used. This formula is known as the arithmetic series formula:
$$S = \frac{n}{2}(a + l)$$
Where:
In this case, we have:
Substituting these values into the formula:
$$S = \frac{36}{2}(1 + 36)$$
$$S = 18(37)$$
$$S = 666$$
Hence, the sum of the numbers from 1 to 36 is 666.
Therefore, the correct answer is: C. 666