Math Problem Statement
given the sequence form form 2,11,20,29,38.... What are the values of a1 and d?
Solution
The given sequence is: 2, 11, 20, 29, 38, ...
This is an arithmetic sequence, where each term increases by a constant difference.
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The first term () is the first number in the sequence:
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The common difference () is the difference between consecutive terms:
Thus:
Would you like more details on how arithmetic sequences work, or do you have any questions?
Related questions:
- How can we find the nth term of an arithmetic sequence?
- How can we calculate the sum of the first n terms of this sequence?
- What is the difference between arithmetic and geometric sequences?
- How can we determine if a sequence is arithmetic just by looking at it?
- Can an arithmetic sequence have a negative common difference?
Tip: In arithmetic sequences, the common difference stays constant throughout the sequence!
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Series
Formulas
First term of an arithmetic sequence: a1 = a
Common difference: d = a(n) - a(n-1)
Theorems
Arithmetic sequence formula: a(n) = a1 + (n-1) * d
Suitable Grade Level
Grades 7-9
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