Question

Fill in the missing values such that the final term is pulled out of the summation. [ sum_{j=1}^{k} frac{1}{j^{2}}=sum_{j=1}+ ]

Answer 1

The missing value in the summation is n².

Step-by-step explanation:

To fill in the missing values such that the final term is pulled out of the summation, we need to find a pattern in the denominators of the fractions. From the given expression, we can observe that the denominators follow the pattern of squares of consecutive positive integers.

So, to find the missing value in the summation, we can express the summation as a sum of squares of consecutive positive integers. The expression in the box is equal to n². Therefore, the missing value is n².