Question

Find the sum by adding each term together. Use the summation capabilities of a graphing utility to verify your result.NOT 64

Answer 1

We are given the following summation:

`\sum_{i\mathop{=}1}^6(4i+5)`

To determine the sum by adding terms we will substitute the values of "i" starting from "i = 1" to "i = 6" in the expression, like this:

`4(1)+5+4(2)+5+4(3)+5+4(4)+5+4(5)+5+4(6)+5`

Now, we solve the operations. Adding like terms we get:

`4(1)+4(2)+4(3)+4(4)+4(5)+4(6)+30`

Solving the products:

`4+8+12+16+20+24+30`

Solving the sum:

`114`

Therefore, the result of the sum is 114.