Geometric sequence

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a geometric sequence?
Back
A geometric sequence is a sequence of numbers 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.HSF.BF.A.2
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
If the first term of a geometric sequence is 5 and the common ratio is 3, what is the 4th term?
Back
The 4th term is 5 * 3^(4-1) = 5 * 27 = 135.
Tags
CCSS.HSF.BF.A.2
4.
FLASHCARD QUESTION
Front
What is the common ratio in the geometric sequence 2, 6, 18, 54?
Back
The common ratio is 3, as each term is multiplied by 3 to get the next term.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
How do you determine if a sequence is geometric?
Back
A sequence is geometric if the ratio of consecutive terms is constant.
Tags
CCSS.HSF.BF.A.2
6.
FLASHCARD QUESTION
Front
What is the common ratio of the geometric sequence 10, 5, 2.5, 1.25?
Back
The common ratio is 0.5, as each term is multiplied by 0.5 to get the next term.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
What is the 5th term of a geometric sequence with a first term of 4 and a common ratio of 2?
Back
The 5th term is 4 * 2^(5-1) = 4 * 16 = 64.
Tags
CCSS.HSF.BF.A.2
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