Math Problem Statement

The image contains the numbers 88, 73, 58, followed by an empty box. What is the next number in the sequence?

Solution

The image you've shared contains a sequence of numbers: 88, 73, 58, followed by an empty box.

This looks like a number pattern or arithmetic sequence where the next number in the series needs to be determined. Let's analyze the difference between the numbers:

  • 8873=1588 - 73 = 15
  • 7358=1573 - 58 = 15

The difference between consecutive terms is a constant 15, indicating that this is an arithmetic sequence with a common difference of 15-15.

To find the next number:

  • 5815=4358 - 15 = 43

Thus, the next number in the sequence should be 43.

Do you have any other details you'd like me to explain?

Here are some related questions to consider:

  1. What is the general formula for an arithmetic sequence?
  2. How can we find any term in an arithmetic sequence?
  3. What is the sum of the first nn terms in an arithmetic sequence?
  4. How does the common difference affect the rate of change in the sequence?
  5. Can we create a similar sequence with a different common difference?

Tip: In arithmetic sequences, knowing the common difference makes it easy to predict future or missing terms!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Subtraction

Formulas

General formula for an arithmetic sequence: a_n = a_1 + (n-1)d

Theorems

Properties of Arithmetic Sequences

Suitable Grade Level

Grades 6-8