Math Problem Statement
Find the twenty-eighth term of the arithmetic sequence 22, 21, 20, ... Question content area bottom Part 1 a 28 equals enter your response here (Simplify your answer.)
Solution
To find the 28th term () of the given arithmetic sequence, we use the formula for the -th term of an arithmetic sequence:
Given:
- (the first term),
- (common difference, calculated as ),
- (term number to find).
Substituting into the formula:
Final Answer:
Would you like a detailed explanation or further clarification? Here are 5 related questions you might find interesting:
- What is the sum of the first 28 terms of this sequence?
- How do we determine the common difference in an arithmetic sequence?
- Can we derive the general formula for any term in this sequence?
- What happens to the sequence if the common difference changes to ?
- How does the formula for the -th term differ for a geometric sequence?
Tip: Always verify the common difference before applying the arithmetic sequence formula.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Linear Relationships
Formulas
n-th term of an arithmetic sequence: a_n = a_1 + (n-1)d
Theorems
Arithmetic Sequence Formula
Suitable Grade Level
Grades 8-10
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