Arithmetic Sequence Finding the nth term
Flashcard
•
Mathematics
•
9th Grade
•
Medium
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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.
Tags
CCSS.HSF.BF.A.2
2.
FLASHCARD QUESTION
Front
What is the formula for the nth term of an arithmetic sequence?
Back
The nth term of an arithmetic sequence can be found using the formula: \( a_n = a_1 + (n-1)d \), where \( a_1 \) is the first term and \( d \) is the common difference.
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
Find the 64th term for the sequence defined by \( a_n = 5n + 4 \).
Back
The 64th term is \( a_{64} = 5(64) + 4 = 320 + 4 = 324 \).
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
Use the explicit formula to find the 7th term of the sequence \( a_n = 22 - 3(n-1) \).
Back
The 7th term is \( a_7 = 22 - 3(7-1) = 22 - 18 = 4 \).
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
What are the next two terms in the sequence 4, 7, 10, 13?
Back
The next two terms are 16 and 19.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
Back
The next three terms are 61, 70, 79.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Is the sequence 17, 9, 1, -7 an arithmetic sequence?
Back
Yes, the sequence is arithmetic because the difference between consecutive terms is constant (-8).
Tags
CCSS.HSF.BF.A.2
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