The first term of a sequence is 20

The term-to-term rule is -6

What is the 3rd term?

The first term of the sequence is \(20\), and each term is obtained by subtracting 6 from the previous term.

Let's calculate up to the 3rd term:

- 1st term: \(20\)  
- 2nd term: \(20 - 6 = 14\)  
- 3rd term: \(14 - 6 = 8\)  

Thus, the 3rd term is \(8\).

Would you like further details or have any questions?

Here are 5 related questions to consider:

1. What would be the 5th term in this sequence?
2. How can you express the \(n\)-th term of this sequence algebraically?
3. What type of sequence is this, and how do you classify it?
4. What happens to the sequence if the rule changes to \(-4\) instead of \(-6\)?
5. What is the sum of the first 3 terms of this sequence?

**Tip:** For sequences where the rule involves subtraction, the common difference is negative, leading to a decreasing arithmetic sequence.

The first term of a sequence is 20. The term-to-term rule is -6. What is the 3rd term?

Discover how to find the 3rd term of an arithmetic sequence where the first term is 20 and the common difference is -6. This problem introduces key concepts in arithmetic sequences and algebra, with a detailed step-by-step solution. Perfect for students in Grades 6-8.

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