10, 5, 0, -5, …

Description:

The next number is _____

The sequence given is: \(10, 5, 0, -5, \ldots\).

This sequence decreases by 5 at each step:

1. \(10 - 5 = 5\)
2. \(5 - 5 = 0\)
3. \(0 - 5 = -5\)

Following this pattern, the next term (the 5th term) will be:
\[
-5 - 5 = \boxed{-10}
\]

Would you like to explore more about this sequence or have any other questions?

Here are some related questions to consider:
1. How would this sequence change if the initial number were different?
2. Can you write a general formula for the \(n\)th term of this sequence?
3. What is the common difference in this arithmetic sequence?
4. How would the sequence change if the difference between terms were multiplied instead of subtracted?
5. What would be the sum of the first 10 terms of this sequence?
6. How does this sequence behave as it continues indefinitely?
7. What are some real-world scenarios where a sequence like this might appear?
8. How would this sequence change if every other term were multiplied by a constant?

**Tip:** In arithmetic sequences, each term is obtained by adding or subtracting a fixed number from the previous term, known as the common difference.

Explore the arithmetic sequence 10, 5, 0, -5, ... and find out how to determine the next number in the sequence. This sequence decreases by 5 at each step. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation