Arithmetic Sequences Practice

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an arithmetic sequence?
Back
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.
2.
FLASHCARD QUESTION
Front
How do you find the common difference in an arithmetic sequence?
Back
The common difference can be found by subtracting any term from the subsequent term in the sequence. For example, in the sequence 3, 7, 11, the common difference is 7 - 3 = 4.
3.
FLASHCARD QUESTION
Front
What is the recursive formula for an arithmetic sequence?
Back
The recursive formula for an arithmetic sequence can be expressed as: a_n = a_(n-1) + d, where d is the common difference.
4.
FLASHCARD QUESTION
Front
What is the explicit formula for an arithmetic sequence?
Back
The explicit formula for an arithmetic sequence is given by: a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.
5.
FLASHCARD QUESTION
Front
Given the first term a_1 = 2 and common difference d = 3, what are the first four terms of the sequence?
Back
The first four terms are: 2, 5, 8, 11.
6.
FLASHCARD QUESTION
Front
If the first term of an arithmetic sequence is -4 and the common difference is 6, what is the 5th term?
Back
The 5th term can be calculated as: a_5 = -4 + (5 - 1) * 6 = -4 + 24 = 20.
7.
FLASHCARD QUESTION
Front
What is the formula to find the nth term of an arithmetic sequence?
Back
The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n - 1)d.
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