Question

2+4+6+.....+300

Answer 1

You need to find every number until 300? Or do you need the rule?

Answer 2

i need to find the the sum of it

Answer 3

Let \(S\) denote the sum.
\[S=2+4+6+\cdots+296+298+300\]
Notice that this is the same as
\[S=300+298+296+\cdots+6+4+2\]
Add the equations together:
\[\begin{align*}2S&=(300+2)+(298+4)+(296+6)+\cdots+(6+296)+(4+298)+(2+300)\\
2S&=302+302+302+\cdots+302+302+302
\end{align*}\]
How many times do we add 302?

Answer 4

The cutoff part should be clear. It's a matter of noticing the symmetry between the added terms in the first and second expressions for \(S\)

Answer 5

thanks i think i got the answer!

Answer 6

Nice job! You're welcome