What is an arithmetic sequence?
Arithmetic Sequences

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
2.
FLASHCARD QUESTION
Front
How do you find the common difference in an arithmetic sequence?
Back
The common difference (d) can be found by subtracting any term from the subsequent term: d = a(n+1) - a(n).
3.
FLASHCARD QUESTION
Front
Given the sequence 7, 27, 47, 67, what is the common difference?
Back
The common difference is 20.
4.
FLASHCARD QUESTION
Front
What are the next three terms in the arithmetic sequence: -33, -24, -15, -6?
Back
The next three terms are 3, 12, 21.
5.
FLASHCARD QUESTION
Front
If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 5th term?
Back
The 5th term is 5 + 4*3 = 17.
6.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.
7.
FLASHCARD QUESTION
Front
How can you determine if a sequence is arithmetic?
Back
A sequence is arithmetic if the difference between consecutive terms is the same for all pairs of terms.
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