https://file.aiquickdraw.com/mathbot/file/1726191208508qttqyk49.jpg

Looking at the pattern in the sequence:

The terms are: \( 74, 70, 67, 65, 64 \).

1. To get from 74 to 70, we subtract \( 4 \).
2. To get from 70 to 67, we subtract \( 3 \).
3. To get from 67 to 65, we subtract \( 2 \).
4. To get from 65 to 64, we subtract \( 1 \).

This suggests that each successive subtraction decreases by 1.

For question 2:

**The first term is 74.**
- To calculate the second term, subtract 4.
- To calculate each additional term, increase the amount added by 1 (which means subtract one less each time).

---

Do you want more details or have further questions? Here are some related topics:

1. How do arithmetic sequences differ from geometric sequences?
2. What is the general formula for an arithmetic sequence?
3. Can you extend this pattern further? What would the next term be?
4. How is the difference between consecutive terms related to the type of sequence?
5. How can you identify whether a sequence is arithmetic or not?

**Tip:** In arithmetic sequences, the difference between consecutive terms is always constant, but sometimes the difference itself changes in a regular way, as shown here.

Is each term of the sequence equal to the previous term plus a regularly increasing amount?

In this math problem, students will learn how to identify an arithmetic sequence with decreasing values. The sequence starts at 74, and each term is the previous term with a progressively smaller subtraction. Explore how to calculate the next terms in the sequence with a regularly increasing amount. Suitable for Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation