Math Problem Statement

answer

What is the common difference (השונות) in Sequence A (סדרה א): 9, 8, 7, 6, 5?

Solution

In this image, the question is asking about the common difference (השונות) of the sequence labeled "סדרה א."

Sequence A (סדרה א): 9,8,7,6,59, 8, 7, 6, 5

This is an arithmetic sequence, where each term decreases by the same value compared to the previous one. To find the common difference, we subtract any two consecutive terms.

Common difference=89=1\text{Common difference} = 8 - 9 = -1

Thus, the common difference (השונות) for סדרה א is 1-1.

Would you like more details on arithmetic sequences, or do you have any questions?

Here are 5 related questions:

  1. How do we identify the common difference in an arithmetic sequence?
  2. What is the general form of an arithmetic sequence?
  3. How can we find the nth term of an arithmetic sequence?
  4. What is the formula for the sum of the first n terms in an arithmetic sequence?
  5. How do arithmetic sequences differ from geometric sequences?

Tip: In an arithmetic sequence, the difference between consecutive terms is always constant, which makes it easy to predict future terms.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence
Common Difference

Formulas

Common difference = a(n) - a(n-1)

Theorems

Arithmetic Sequence Theorem

Suitable Grade Level

Grades 6-8