Geometric Series
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
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1.
FLASHCARD QUESTION
Front
What is a geometric series?
Back
A geometric series is the sum of the terms of a geometric sequence, where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Tags
CCSS.HSA.SSE.B.4
2.
FLASHCARD QUESTION
Front
What is the formula for the nth term of a geometric sequence?
Back
The nth term of a geometric sequence can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the term number.
Tags
CCSS.HSF.BF.A.2
3.
FLASHCARD QUESTION
Front
How do you find the first four terms of a geometric sequence given a formula?
Back
Substitute n = 1, 2, 3, and 4 into the formula a_n to find the first four terms.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio (r) is the factor by which we multiply each term to get the next term in the sequence.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
Is the sequence {14, 22, 30, 38, ...} arithmetic or geometric?
Back
It is an arithmetic sequence with a common difference (d) of 8.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the explicit formula for the geometric sequence with a first term of 3 and a common ratio of -4?
Back
The explicit formula is a_n = 3 * (-4)^(n-1).
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
How do you determine if a sequence is arithmetic, geometric, or neither?
Back
A sequence is arithmetic if the difference between consecutive terms is constant, geometric if the ratio of consecutive terms is constant, and neither if neither condition holds.
Tags
CCSS.HSF.BF.A.2
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