Math Problem Statement
A sequence starts with $122$, and each term decreases by $5$. What is the fourth term of the sequence?
Solution
The given sequence starts with and each term decreases by . This is an arithmetic sequence with the first term and a common difference .
To find the fourth term, we use the formula for the -th term of an arithmetic sequence:
For the fourth term ():
So, the fourth term of the sequence is .
Would you like more details or have any questions?
Here are some related questions to consider:
- What is the 10th term of this sequence?
- How many terms are there in this sequence until it reaches zero or below?
- What is the sum of the first 10 terms of this sequence?
- What is the general formula for the -th term of this sequence?
- How does the sequence behave as becomes very large?
Tip: In an arithmetic sequence, the difference between consecutive terms is always constant.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Formulas
Arithmetic sequence nth term formula
Theorems
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Suitable Grade Level
Grades 7-9
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