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The formula for the nth term of the arithmetic sequence first term is 9 common difference is -2

Sagot :

Answer:

[tex]a_n = 9 - 2(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and is called common difference.

The nth term is given by the following equation:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

First term is 9 common difference is -2

This means that [tex]a_1 = 9, d = -2[/tex]

So, the nth term is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

[tex]a_n = 9 + (n-1)(-2)[/tex]

[tex]a_n = 9 - 2(n-1)[/tex]

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