Find the Term-to-Term Rule in the Sequence: 40, 35, 30

What is the term-to-term rule of the following sequence?

40 ,35, 30

To solve this problem, we'll identify the term-to-term rule for the given sequence: 40, 35, 30.

Step 1: Calculate the difference between consecutive terms.
The second term (35) is 5 less than the first term (40): $35 - 40 = -5$.
The third term (30) is 5 less than the second term (35): $30 - 35 = -5$.
The difference between consecutive terms is consistent at $-5$.

Step 2: Express the term-to-term rule.
Since each term is obtained by subtracting 5 from the previous term, the term-to-term rule is:
"Subtract 5 from the previous term to get the next term."

Step 3: Compare to given answer choices.
The correct expression is consistent with choice 1: $45-5n$. This expression generates the sequence by considering $n$ starting from 1.

Therefore, the term-to-term rule for the sequence is correctly represented by the formula $45-5n$.