6. Write the rule for the pattern $$ 85,80,75,70,65 $$

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To find the rule for the pattern $$ 85, 80, 75, 70, 65 $$, we can observe the sequence of numbers and identify how they change from one term to the next.

1. **Identify the pattern:**
   - The first term is $$ 85 $$.
   - The second term is $$ 80 $$ (which is $$ 85 - 5 $$).
   - The third term is $$ 75 $$ (which is $$ 80 - 5 $$).
   - The fourth term is $$ 70 $$ (which is $$ 75 - 5 $$).
   - The fifth term is $$ 65 $$ (which is $$ 70 - 5 $$).

2. **Determine the rule:**
   - Each term decreases by $$ 5 $$ from the previous term.

3. **Express the rule:**
   - We can express the $$ n $$-th term of the sequence as:
   $$
   a_n = 85 - 5(n - 1)
   $$
   where $$ n $$ is the term number (1 for the first term, 2 for the second term, etc.).

Thus, the rule for the pattern is:
$$
a_n = 85 - 5(n - 1)
$$
The pattern decreases by 5 each time. The rule is $$ a_n = 85 - 5(n - 1) $$.

6. Write the rule for the pattern \( 85,80,75,70,65 \)

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