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N0seeee

To find the nth term rule for the arithmetic sequence 8, 15, 22, 29, we start by finding the common difference between each term.

Common difference (d) = second term - first term

d = 15 - 8

d = 7

Now that we have the common difference, we can find the nth term rule. The nth term rule for an arithmetic sequence is given by:

nth term = first term + (n - 1) * common difference

Plugging in the values we have:

nth term = 8 + (n - 1) * 7

nth term = 8 + 7n - 7

nth term = 1 + 7n

Therefore, the nth term rule for the arithmetic sequence 8, 15, 22, 29 is 1 + 7n.

I hope it helps you

Intriguing456

Answer:

[tex]\boxed{a_n = 8 + 7(n-1)}[/tex]

Step-by-step explanation:

There are two important pieces of information about an arithmetic sequence:

  1. the first term
  2. the common difference between two consecutive terms

We can identify the first term as 8 and the common difference as 15 - 8 = 7.

So, the rule that describes the given arithmetic sequence is:

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

[tex]\boxed{a_n = 8 + 7(n-1)}[/tex]

The reason we multiply the difference by (n - 1) rather than n is because the first term (n = 1) doesn't have the difference added to it.

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