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:

$T_n=\dfrac{n^2-n}{2}$

To find:

The 6th term generated by the given rule.

Solution:

We have,

$T_n=\dfrac{n^2-n}{2}$

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

$T_6=\dfrac{6^2-6}{2}$

$T_6=\dfrac{36-6}{2}$

$T_6=\dfrac{30}{2}$

$T_6=15$

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