Sequences and Series (Arithmetic and Geometric)

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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 nth term of an arithmetic sequence?
Back
The nth term (Tn) of an arithmetic sequence can be found using the formula: Tn = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.
3.
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.
4.
FLASHCARD QUESTION
Front
How do you find the nth term of a geometric sequence?
Back
The nth term (Tn) of a geometric sequence can be found using the formula: Tn = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio.
5.
FLASHCARD QUESTION
Front
What is the common difference in an arithmetic sequence?
Back
The common difference is the amount added to each term to get the next term in an arithmetic sequence.
6.
FLASHCARD QUESTION
Front
What is the common ratio in a geometric sequence?
Back
The common ratio is the factor by which each term in a geometric sequence is multiplied to obtain the next term.
7.
FLASHCARD QUESTION
Front
Find the first four terms of the arithmetic sequence with first term 76 and common difference -6.
Back
76, 70, 64, 58
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