Question

What I’d the sum of the numbers 1 up to 200

Answer 1

The given sum of numbers are

`1+2+3+4+5+\cdots+200`

Notice that this represents an arithmetic series with

First term a=1

Last term l=200

Number of terms n = 200

Using the arithmetic sum formula

`S_n=(n)/(2)\lbrace a+l\rbrace`

Substituting values gives

`\begin{gathered} S_n=(200)/(2)(1+200) \\ S_n=100(201) \\ S_n=201,100 \end{gathered}`

Therefore the total sum is 201,100