Question

I need help with this calculus practice problem. *I need to know what to fill in the boxes with.*

Answer 1

The given sum is

`11+17+23+29+35+41`

The common difference is 17-11=6.

The given sum can be written as follows.

`11+17+23+29+35+41=(5+6)+(5+2*6)+(5+3*6)+(5+4*6)+(5+5*6)+(5+6*6)`

Consider the last term

`5+6*6`

Here multiple of 6 is 6

So, the maximum value of i is 6.

The answer is

`\sum ^6_(i\mathop=1)(5+i*6)`