
Arithmetic Sequences and Series
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
Wayground Content
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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.
2.
FLASHCARD QUESTION
Front
Define the common difference in an arithmetic sequence.
Back
The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.
3.
FLASHCARD QUESTION
Front
If a1 = 5 and a2 = 11, what is the common difference?
Back
The common difference is 6 (11 - 5).
4.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term (an) can be calculated using the formula: an = a1 + (n-1)d, where d is the common difference.
5.
FLASHCARD QUESTION
Front
Find the 15th term of the sequence where a1 = 5 and d = 6.
Back
a15 = 5 + (15-1)6 = 89.
6.
FLASHCARD QUESTION
Front
What is the 7th term in the sequence 7, 11, 15, ...?
Back
The 7th term is 31.
7.
FLASHCARD QUESTION
Front
Identify the next term in the sequence 2, 4, 8, 16.
Back
The next term is 32.
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