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The explicit rule for nth term is 60-30n .
An arithmetic sequence is the sequence of numbers following a pattern and have a certain common difference .
The nth term for a sequence is given by
[tex]\rm a_n = a_1 + (n-1)d\\[/tex]
In the given question the sequence is
30 , 0 , -30 , - 60
Here the first term is 30
the difference is -30
[tex]\rm a_n = 30 + (n-1)(-30)\\\\\\\rm a_n = 30 -30n +30\\\\\\\rm a_n =60-30n\\[/tex]
Therefore, the explicit rule for nth term is 60-30n .
To know more about Arithmetic Sequence
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