Math Problem Statement

Help me find the common difference for 35, 32, 29, 26,

Solution

To find the common difference in an arithmetic sequence, subtract any term from the term that follows it. Here is the calculation for the given sequence 35,32,29,2635, 32, 29, 26:

Step-by-Step Solution:

  1. Subtract the second term from the first: 3235=332 - 35 = -3

  2. Subtract the third term from the second: 2932=329 - 32 = -3

  3. Subtract the fourth term from the third: 2629=326 - 29 = -3

The common difference dd is 3-3.

Final Answer:

The common difference is 3-3.


Would you like me to explain this further or provide examples of similar sequences? 😊

Related Questions:

  1. What is the formula for the nn-th term of an arithmetic sequence?
  2. How can you determine if a sequence is arithmetic?
  3. What are examples of arithmetic sequences with positive common differences?
  4. How do you calculate the sum of the first nn terms in an arithmetic sequence?
  5. How would the sequence change if the common difference were +3+3 instead?

Tip:

Always verify the common difference by checking several consecutive terms to ensure the sequence is arithmetic!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Common Difference

Formulas

d = a_(n+1) - a_n

Theorems

Definition of Arithmetic Sequences

Suitable Grade Level

Grades 6-8