Respuesta :

The explicit rule for nth term is 60-30n .

What is an Arithmetic Sequence ?

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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