iCoachMath.com: Examples on Arithmetic Sequence - Patterns & Functions - (AR)

iCoachMath.com: Examples on Arithmetic Sequence - Patterns & Functions - (AR)

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Solved Examples

Curriculum: Arkansas Math Framework Click to change Curriculum

Topic: Patterns & Functions Click to change Topic

Lesson: A.4.7.2: Arithmetic Sequence Click to change Lesson

Click on a 'View Solution' below for other questions:

BB 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

BB

BB 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."
BB

BB Identify the first 4 terms of the sequence with the rule given as 'Start with 121 and subtract by 5 repeatedly'. BB

BB 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."
BB

BB The rule for n^th term of a pattern is 2n² + 1. Find the first four terms of the pattern starting from 1. BB

e The rule for n^th term of a pattern is 5n - 4. Find the first four terms of the pattern starting from 0.
e

e The rule for n^th term of a pattern is n² + 4. Find the first four terms of the pattern starting from 0. e

e Is the sequence 5, 10, 30, 120, . . . arithmetic, geometric, both or neither?
e

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

e Find the next four terms of the sequence 132, 124, 116, . . .
e

e Choose a rule to describe the sequence 9, 17, 25, 33, 41, . . . e

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

e Find the next four terms of the sequence 45, 39, 33, . . .
e

e Write a rule to describe the sequence 6, 7, 8, 9, . . . e

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

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

e Write a rule to describe the sequence 15, 12, 9, . . .
e

e Write a rule to describe the sequence -7, -5, -3, -1, . . . e

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

e Find the next four terms of the sequence 166, 164, 162, . . .
e

e Find the next four terms of the sequence 8, 15, 22, . . . e

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

e Find the next four terms of the sequence 49, 42, 35, . . .
e

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

e Find the next four terms of the sequence 120, 118, 116, . . .
e

e Choose a rule to describe the sequence 3, 5, 7, 9, 11, . . . e

e Is the sequence 4, 12, 48, 240, . . . arithmetic, geometric, both or neither?
e

e Find the next four terms of the sequence 8, 14, 20, . . . e

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

e Find the next figure in the pattern shown.
e

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

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

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

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

e Which of the following is the correct rule to describe the figure pattern? e

e Find the next four terms of the sequence 54, 46, 38, . . .
e

e Find the next four terms of the sequence 9, 16, 23, . . . e

e Write a rule to describe the sequence 6, 9, 12, 15, . . . e

e Which figure comes next in the figure pattern? e

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

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

e Write a rule to describe the sequence 22, 17, 12, . . .
e

e Write a rule to describe the sequence -9, -5, -1, 3, . . . e

e Find the next figure in the figure pattern.
e

e How many blocks are colored in tenth design of the pattern?
e

e What is the fifth figure in the pattern shown? e

e What is the fourth figure of the pattern?
e

e What is the number pattern of the figure pattern up to fifth term?
e

e What is the next design of the pattern?
e

e 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? e

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

e Which of the expression will help you to find the n^th term in the sequence?
3, 9, 27, 81, . . .
e

e Identify the missing term in the pattern.
1, 2, 4, 8, ____, 32, . . . e

e Complete the pattern.
500, 50, 5, 0.5, 0.05, ____
e

e Write a rule to describe the sequence - 20, - 15, - 10, - 5, . . .
e

e Find the 13^th term of the arithmetic sequence.
0.2, 0.7, 1.2, 1.7, . . .
e

e What would be the tenth term in this arithmetic sequence?
4, 7, 10, 13, . . . e

e What is the n^th term in the sequence?
7, 11, 15, 19, . . .
e

e Which of the following algebraic expressions best describes the n^th term of the arithmetic sequence?
8, 14, 20, 26, ....
e

e 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

e

e 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?
e

e Find the 11^th term of the arithmetic sequence.
0.3, 0.6, 0.9, 1.2, . . . e

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

e Identify the n^th term of the arithmetic sequence 2, 4, 6, 8, . . . .
e

e Identify the n^th term of the arithmetic sequence 6, 12, 18, 24, . . . .
e

e Which figure comes next in the series? e

e Identify the n^th term of the arithmetic sequence 3, 5, 7, 9, . . .
e

e 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?
e

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