Answer:
The nth term of this sequence is [tex]a_{n} = -2n + 2[/tex]
Step-by-step explanation:
In this sequence we keep adding -2 on to get the next term. This sequence is called an arithmetic sequence, a sequence that uses addition to keep increasing.
The formula for the nth term of an arithmetic sequence is
[tex]a_{n} = d[/tex] · [tex]n + a_{1} - d[/tex]
[tex]a_{1}[/tex] stands for the first term in the sequence, and [tex]d[/tex] stands for the difference between each number in the sequence.
[tex]a_{1} = 0[/tex] and [tex]d[/tex] = -2, so :
[tex]a_{n} = -2[/tex] · [tex]n + 0 - (-2)\\[/tex]
[tex]a_{n} = -2n + 2[/tex]
Therefore, to find the nth term in this sequence you would use the formula
[tex]a_{n} = -2n + 2[/tex]
