Question

Use the summation notation to rewrite the following expression.

(13 − 7) − (23 − 7) + (33 − 7) − (43 − 7) + (53 − 7) − (63 − 7) = 6
k = 1

Answer 1

The given expression can be represented using summation notation as Summation (n = 1 to 6) of [(n^2) - 7]. By substituting the values of n from 1 to 6 and summing the results, we can find the value of the expression.

Step-by-step explanation:

The given expression can be rewritten using summation notation as follows:

Summation (n = 1 to 6) of [(n^2) - 7]

Using this notation, we can calculate the value of the expression by substituting the values of n from 1 to 6 and summing the results.

For example, when n = 1, the term becomes [(1^2) - 7] = -6. Similarly, when n = 2, the term becomes [(2^2) - 7] = -3. We continue this process until n = 6 and sum all the terms.

The value of the expression is 6k = 1, where k is the summation of [(n^2) - 7] from n = 1 to 6.