The first term of a sequence is 12

The term-to-term rule is -3

What is the 5th term of this sequence?

This sequence follows a term-to-term rule of subtracting 3 from each term.

Given:
- The first term (\(T_1\)) is 12.
- The term-to-term rule is to subtract 3 from the previous term.

Now, calculate the next four terms:

\[
T_2 = 12 - 3 = 9
\]
\[
T_3 = 9 - 3 = 6
\]
\[
T_4 = 6 - 3 = 3
\]
\[
T_5 = 3 - 3 = 0
\]

Thus, the 5th term of the sequence is **0**.

Would you like further details or clarification?

Here are 5 related questions to explore:
1. What is the 10th term of this sequence?
2. How many terms would it take for the sequence to reach a negative value?
3. If the term-to-term rule was \( +3 \) instead of \(-3\), what would the 5th term be?
4. How can this sequence be expressed as an arithmetic sequence formula?
5. What is the sum of the first 5 terms in this sequence?

**Tip:** The difference between consecutive terms in a sequence is called the "common difference" in an arithmetic sequence.

The first term of a sequence is 12. The term-to-term rule is -3. What is the 5th term of this sequence?

Discover how to find the 5th term in an arithmetic sequence where the first term is 12 and the term-to-term rule is -3. Follow a detailed step-by-step guide suitable for middle school students (Grades 6-8).

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