CPM Homework Help : PCT Problem 2-56

Write the following expression using summation notation.

$\frac { 1 } { 4 } + \frac { 4 } { 9 } + \frac { 9 } { 16 } + \ldots + \frac { 81 } { 100 } + \frac { 100 } { 121 }$

Step 1:

Write an expression for the sequence $1, 4, 9, ..., 81, 100$ .

Step 2:

Write an expression for the sequence $4, 9, 16, ..., 100, 121$ .

Step 3:

Use your sequences to determine the number of terms in the expression.

Step 4:

$\displaystyle\sum\limits_{k=1}^{?}\frac{k^2}{(?)^2}$