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 :
Step-by-Step Solution:
-
Subtract the second term from the first:
-
Subtract the third term from the second:
-
Subtract the fourth term from the third:
The common difference is .
Final Answer:
The common difference is .
Would you like me to explain this further or provide examples of similar sequences? 😊
Related Questions:
- What is the formula for the -th term of an arithmetic sequence?
- How can you determine if a sequence is arithmetic?
- What are examples of arithmetic sequences with positive common differences?
- How do you calculate the sum of the first terms in an arithmetic sequence?
- How would the sequence change if the common difference were 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
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