Math Problem Statement
On the arithmetic sequence 9, 14, 19, 24, what is the 71st term?
Solution
The given arithmetic sequence is .
In an arithmetic sequence, the general form of the -th term is:
Where:
- is the -th term,
- is the first term,
- is the common difference,
- is the position of the term.
From the sequence:
- The first term ,
- The common difference .
To find the 71st term ():
Thus, the 71st term of the sequence is .
Would you like further details or have any questions?
Here are 5 related questions:
- What is the 100th term of this sequence?
- How can you find the sum of the first 71 terms of this arithmetic sequence?
- What would the 50th term be if the common difference was 3 instead of 5?
- How can you determine the common difference if only two terms are known?
- What is the general formula for the sum of an arithmetic sequence?
Tip: The common difference in an arithmetic sequence can be found by subtracting any two consecutive terms.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequence
Sequences and Series
Formulas
a_n = a_1 + (n - 1) * d
Theorems
General formula for the nth term of an arithmetic sequence
Suitable Grade Level
Grades 6-8
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