Math Problem Statement
What is the 80th term in the sequence 3, 6, 9, 12,...?
Solution
The given sequence is . This is an arithmetic sequence where the first term and the common difference .
To find the -th term of an arithmetic sequence, the formula is:
Substitute the values for , , and :
Thus, the 80th term of the sequence is 240.
Would you like a more detailed explanation or have any questions?
Here are 5 related questions you might explore:
- What is the sum of the first 80 terms of this sequence?
- What is the general formula for the sum of an arithmetic sequence?
- How would you find the 50th term in a sequence with a common difference of 5?
- If the sequence starts at 5 instead of 3, what would be the 80th term?
- What is the difference between an arithmetic sequence and a geometric sequence?
Tip: In an arithmetic sequence, the difference between consecutive terms is always constant.
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Linear Algebra
Formulas
a_n = a_1 + (n-1) * d
Theorems
Arithmetic Sequence Formula
Suitable Grade Level
Grades 6-8
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