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Given:
Consider the rule of a sequence is:
[tex]T_n=\dfrac{n^2-n}{2}[/tex]
To find:
The 6th term generated by the given rule.
Solution:
We have,
[tex]T_n=\dfrac{n^2-n}{2}[/tex]
Substituting [tex]n=6[/tex] in the above rule, we get
[tex]T_6=\dfrac{6^2-6}{2}[/tex]
[tex]T_6=\dfrac{36-6}{2}[/tex]
[tex]T_6=\dfrac{30}{2}[/tex]
[tex]T_6=15[/tex]
Therefore, the 6th term generated by the given rule is 15.