What is an arithmetic sequence?
Hon. Alg. 1 - 11/25/24 Do Now

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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
Is the sequence 3, 15, 75 an arithmetic sequence?
Back
No, it is not an arithmetic sequence because the differences between terms are not constant.
3.
FLASHCARD QUESTION
Front
Is the sequence 3, 5, 7 an arithmetic sequence?
Back
Yes, it is an arithmetic sequence with a common difference of 2.
4.
FLASHCARD QUESTION
Front
Is the sequence 24, 15, 6 an arithmetic sequence?
Back
Yes, it is an arithmetic sequence with a common difference of -9.
5.
FLASHCARD QUESTION
Front
What is the common difference in the arithmetic sequence 1, -2, -5?
Back
The common difference is -3.
6.
FLASHCARD QUESTION
Front
How do you find the n-th term of an arithmetic sequence?
Back
The n-th term can be found 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
What is the explicit formula for the n-th term of the sequence 2, 9, 16, 23?
Back
The explicit formula is a_n = 7n - 5.
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