1. The problem is to find the rule or pattern for the sequence: 20, 30, 40, 50, 60.
2. To find the rule, observe the differences between consecutive terms:
$$30 - 20 = 10$$
$$40 - 30 = 10$$
$$50 - 40 = 10$$
$$60 - 50 = 10$$
3. Since the difference between each term is constant (10), this is an arithmetic sequence.
4. The general formula for an arithmetic sequence is:
$$a_n = a_1 + (n-1)d$$
where $a_n$ is the $n$th term, $a_1$ is the first term, and $d$ is the common difference.
5. Here, $a_1 = 20$ and $d = 10$, so:
$$a_n = 20 + (n-1) \times 10$$
6. Simplify the formula:
$$a_n = 20 + 10n - 10 = 10n + 10$$
7. Therefore, the rule for the sequence is:
$$a_n = 10n + 10$$
This means to find the $n$th term, multiply $n$ by 10 and add 10.
Arithmetic Sequence 9F9A95
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