Question

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

Answer 1

Given:

Consider the rule of a sequence is:

`T_n=(n^2-n)/(2)`

To find:

The 6th term generated by the given rule.

Solution:

We have,

`T_n=(n^2-n)/(2)`

Substituting
`n=6` in the above rule, we get

`T_6=(6^2-6)/(2)`

`T_6=(36-6)/(2)`

`T_6=(30)/(2)`

`T_6=15`

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