Determine the term 6 generated by the rule TN is equals to n squared minus n and over 2​

Given:

Consider the rule of a sequence is:

To find:

The 6th term generated by the given rule.

Solution:

We have,

Substituting in the above rule, we get

Therefore, the 6th term generated by the given rule is 15.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are