See how I eddied your notation.Looking for help modeling how to do a summation.
\((y_1+1) + (y_1+y_2+2) + (y_1+y_2+y_3+3) > 1\)
Your goal is not clear. What do you mean by "how to do a summation"? Do you want to add these up, as pka did, or perhaps to write it using sigma notation, as you appear to be trying to do? Or something else?Looking for help modeling how to do a summation.
(y1+1) + (y1+y2+2) + (y1+y2+y3+3) > 1
The addition of the yi to each group is got me stumped.
I know the basic is
Sum i to 3 (yi + i) >1
Your response is what I was looking for. Sorry for confusion.Your goal is not clear. What do you mean by "how to do a summation"? Do you want to add these up, as pka did, or perhaps to write it using sigma notation, as you appear to be trying to do? Or something else?
You can represent the kth term on your left-hand side by [MATH]\left(\sum_{i=1}^k y_i\right) + k[/MATH], or [MATH]\sum_{i=1}^k(y_i + 1)[/MATH]. So the entire expression is [MATH]\sum_{k=1}^3\sum_{i=1}^k(y_i + 1)[/MATH].
??Trying to figure out how this expands out to my original equation.
Assuming you are referring to my summation, please show where you are stuck in doing so.Trying to figure out how this expands out to my original equation.
\(\sum_{k=1}^3\sum_{i=1}^k(y_i + 1)\)Trying to figure out how this expands out to my original equation.