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What is the arithmetic sequence below3, 11, 19, 27...

Sagot :

The sequence we have is:

[tex]3,11,19,27,...[/tex]

To find the arithmetic sequence, we use the arithmetic sequence formula:

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

Where

[tex]a_n\longrightarrow\text{ nth term}[/tex]

Note: n can be any number

[tex]a_1\longrightarrow\text{ The first term}[/tex]

Since the first term, in this case, is 3:

[tex]a_1=3[/tex]

And d is the common difference between the terms.

As we can see in the following image, the common difference is +8:

[tex]d=8[/tex]

So the rule for the arithmetic sequence for a term "n" is:

[tex]a_n=3+(n-1)(8)[/tex]

Answer:

[tex]a_n=3+(n-1)(8)[/tex]

View image AydonE29434
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