Question

33+34+35+36+...+104 what is the sum of the sequence?

Answer 1

This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

$S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}$