iCoachMath.com: Examples on Arithmetic Sequence - Describing Patterns and Functions

Curriculum: Alaska Math Grade Level Expectations Click to change Curriculum

Topic: Describing Patterns and Functions Click to change Topic

Lesson: [7] F&R-1: Arithmetic Sequence Click to change Lesson

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ccc Which expression can be used to find the n^th term in this sequence?

Position	1	2	3	4	n
Value of Term	3	9	15	21

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ccc Which expression can be used to find the n^th term in this sequence?

Position	1	2	3	4	5	n
Value of Term	1	8	15	22	29

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ccc Find the next four numbers in a pattern that starts with 3 and follows the rule,"Subtract 2 and add 4 to the number before it."
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ccc Identify the first 4 terms of the sequence with the rule given as 'Start with 121 and subtract by 5 repeatedly'. ccc

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ccc Find the next three numbers in a pattern that starts with 4 and follows the rule "Multiply by 3 and subtract by 5 to get the next number."
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ccc The rule for n^th term of a pattern is 2n² + 1. Find the first four terms of the pattern starting from 1. ccc

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ccc The rule for n^th term of a pattern is 5n - 4. Find the first four terms of the pattern starting from 0.
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ccc Is the sequence 5, 10, 30, 120, . . . arithmetic, geometric, both or neither?
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ccc The rule for n^th term of a pattern is n² + 4. Find the first four terms of the pattern starting from 0. ccc

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ccc Find the next four terms of the sequence 12, 15, 18, . . . ccc

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ccc Find the next four terms of the sequence 132, 124, 116, . . .
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ccc Choose a rule to describe the sequence 9, 17, 25, 33, 41, . . . ccc

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ccc Find the next four terms of the sequence 8, 16, 24, . . . ccc

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ccc Find the next four terms of the sequence 45, 39, 33, . . .
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ccc Write a rule to describe the sequence 6, 7, 8, 9, . . . ccc

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ccc Write a rule to describe the sequence 52, 47, 42, 37, . . . ccc

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ccc Write a rule to describe the sequence 21, 16, 11, 6, . . . ccc

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ccc Write a rule to describe the sequence 15, 12, 9, . . .
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ccc Write a rule to describe the sequence -7, -5, -3, -1, . . . ccc

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ccc Identify the first 4 terms of the sequence with the rule given as "Start with 625 and divide by 5 repeatedly." ccc

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ccc Find the next four terms of the sequence 166, 164, 162, . . .
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ccc Find the next four terms of the sequence 8, 15, 22, . . . ccc

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ccc Choose a rule to describe the sequence 8, 16, 24, 32, 40, . . . ccc

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ccc Write a rule to describe the sequence - 21, - 16, - 11, - 6, . . .
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ccc Find the next four terms of the sequence 9, 16, 23, . . . ccc

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ccc Find the next four terms of the sequence 8, 16, 24, . . . ccc

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ccc Find the next four terms of the sequence 120, 118, 116, . . .
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ccc Choose a rule to describe the sequence 3, 5, 7, 9, 11, . . . ccc

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ccc Is the sequence 4, 12, 48, 240, . . . arithmetic, geometric, both or neither?
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ccc Find the next four terms of the sequence 8, 14, 20, . . . ccc

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ccc Find the next four terms of the sequence 54, 46, 38, . . .
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ccc Find the next figure in the pattern shown.
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ccc Find the next four terms of the sequence 49, 42, 35, . . .
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ccc Write a rule to describe the sequence 6, 9, 12, 15, . . . ccc

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ccc What would be the next figure of the pattern?
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ccc What would be the next figure of the pattern? ccc

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ccc How many blocks would be there in the sixth design? ccc

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ccc Which figure comes next in the figure pattern? ccc

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eee Write a rule to describe the sequence 53, 46, 39, 32, . . . eee

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eee Write a rule to describe the sequence 12, 10, 8, 6, . . . eee

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eee Which of the following number pattern is the correct choice for the figure pattern? eee

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eee Write a rule to describe the sequence 22, 17, 12, . . .
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eee Find the next figure in the figure pattern.
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eee Which of the following is the correct rule to describe the figure pattern? eee

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eee How many blocks are colored in tenth design of the pattern?
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eee What is the fifth figure in the pattern shown? eee

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eee What is the fourth figure of the pattern?
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eee What is the number pattern of the figure pattern up to fifth term?
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eee Write a rule to describe the sequence -9, -5, -1, 3, . . . eee

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eee Which figure comes next in the series? eee

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eee A pile of blackberry fruits is arranged in the form of a pyramid with 1 blackberry fruit in the first layer, 4 in the second layer (from the top), 9 in the third layer, and 16 in the fourth layer. How many blackberry fruits are needed to make a pile with 6 layers? eee

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eee Complete the pattern.
3,000, 300, 30, 3, 0.3, ____ eee

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eee Which of the expression will help you to find the n^th term in the sequence?
3, 9, 27, 81, . . .
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eee Identify the missing term in the pattern.
1, 2, 4, 8, ____, 32, . . . eee

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eee Complete the pattern.
500, 50, 5, 0.5, 0.05, ____
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eee Find the 13^th term of the arithmetic sequence.
0.2, 0.7, 1.2, 1.7, . . .
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eee What would be the tenth term in this arithmetic sequence?
4, 7, 10, 13, . . . eee

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eee What is the n^th term in the sequence?
7, 11, 15, 19, . . .
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eee Which of the following algebraic expressions best describes the n^th term of the arithmetic sequence?
8, 14, 20, 26, ....
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eee What is the next design of the pattern?
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eee Write a rule to describe the sequence - 20, - 15, - 10, - 5, . . .
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eee Find the 11^th term of the arithmetic sequence.
0.3, 0.6, 0.9, 1.2, . . . eee

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eee Which is the sixteenth term of the sequence 5, 8, 13, 20, . . ? eee

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eee Identify the n^th term of the arithmetic sequence 2, 4, 6, 8, . . . .
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eee Identify the n^th term of the arithmetic sequence 6, 12, 18, 24, . . . .
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eee The numbers of stamps Robert collects during the first, second, and third week are 3, 7, and 11 respectively. If he continues with the same pattern, which of the following expressions helps to find the number of stamps that he collected on n^th week?
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eee Identify the n^th term of the arithmetic sequence 3, 5, 7, 9, . . .
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eee Number of tourists at a tourist place on the 1st day is 120, on the second day 140, on the 3rd day 160, on the 4th day 180 and so on. If the inflow of tourists continues in the same fashion, what will be the number of tourists at that place on the 11th day?
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