iCoachMath.com: Examples on Arithmetic Sequence - Sequences and Series

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Curriculum: Kentucky Math Framework Click to change Curriculum

Topic: Sequences and Series Click to change Topic

Lesson: MA-H-1.1.2, MA-H-1.2.4: Arithmetic Sequence Click to change Lesson

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BBB The common difference of the arithmetic sequence 5, 14, 23 , 32, ... is ____.
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BBB The sixteenth term of the arithmetic sequence 1.0, 1.3, 1.6, 1.9, . . . is ____.
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BBB The first term of an arithmetic sequence is 4 and the common difference is - 2. The 11^th term is _____ BBB

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BBB The 4^th term of the arithmetic sequence 12, 1 , 32, ......is ___.
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BBB In an arithmetic sequence a₁ = x, d = 8x, the 4^th term is ______. BBB

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BBB The first term of an arithmetic sequence is - 8 and the 12^th term is 36. What is the 14^th term? BBB

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BBB The n^th term of the arithmetic sequence 3, 6, 9, 12, ... is ______.
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BBB In an arithmetic sequence a₅ = 35 and a₁₂ = 84. The common difference is____
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BBB What is the arithmetic mean of 18 and 20 ? BBB

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BBB The arithmetic mean between two terms in an arithmetic sequence is 21. If one term is 18, then find the other term. BBB

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BBB Which term of the arithmetic sequence with first term as 3 and common difference as 9 is 102? BBB

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BBB If a₁ = x + 11, d = 4x - 7, then find the value of a₆. BBB

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BBB What are the three arithmetic means between 37 and 81? BBB

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BBB Two arithmetic means are inserted between 13 and 49. What is the common difference? BBB

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BBB The difference between the 14^th term and 1^st term of an arithmetic sequence 32, 20, 8, - 4, .... is _________. BBB

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BBB The n^th term of an arithmetic sequence is 12n - 9. What is the 6^th term?
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BBB If the n^th term of an arithmetic sequence is 4n + 2, then the common difference is ___.
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BBB The common difference of the arithmetic sequence 3, 3 + 4³, 3 + 2 · 4³, 3 + 3 · 4³, ... is ___ BBB

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BBB What is the value of a₁₉ - a₉ for the arithmetic sequence 40, 34, 28,.... ?
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BBB If a₁, a₂, a₃ are the 1^st three terms of an arithmetic sequence, then a₂ in terms of a₁ and a₃ is: BBB

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BBB If x is added to each term of the arithmetic sequence 7, 19, 31, 43, ... then the common difference of the new sequence is ____.
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BBB If twice the second term is equal to the thrice the third term of an arithmetic sequence, then find its fifth term.
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BBB For what value of k, 2k - 3, 4k + 4 and 3k + 26 are the three consecutive terms in an arithmetic sequence ? BBB

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BBB If the common difference of the arithmetic sequence a₁, a₂, a₃, a₄, ... is d, then what is the common difference of the arithmetic sequence 11a₁, 11a₂, 11a₃, ... is? BBB

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BBB If 4 is the common difference of the arithmetic sequence a₁, a₂, a₃, ... and 24 is the common difference for the arithmetic sequence b₁, b₂, b₃, ... , then the common difference for the arithmetic sequence a₁ + b₁, a₂ + b₂, a₃ + b₃, ... is:
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BBB Evaluate: 1² - 2² + 3² - 4² + 5² - 6² + ...........+ 2009² - 2010² + 2011²
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BBB How many numbers are there between 39 and 1127 which are exactly divisible by 22 ?
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BBB If 6 arithmetic means are introduced between 1 and 15, then find their sum.
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BBB Which term of the arithmetic sequence with first term as 2 and common difference as 3 is 35? BBB

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BBB Two arithmetic means are inserted between 31 and 76. What is the common difference?
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BBB Which term of the arithmetic sequence with first term as 5 and common difference as 3 is 20? BBB

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BBB Which term of the arithmetic sequence with first term as 4 and common difference as 7 is 102?
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BBB Which term of the arithmetic sequence with first term as 2 and common difference as 3 is 26?
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BBB How many numbers are there between 35 and 601 which are exactly divisible by 20?
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BBB How many numbers are there between 45 and 950 which are exactly divisible by 30? BBB

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BBB The common difference of the arithmetic sequence 9, 17, 25 , 33, ... is ____.
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BBB The sixteenth term of the arithmetic sequence 3.0, 3.3, 3.6, 3.9, . . . is ____.
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BBB The first term of an arithmetic sequence is 8 and the common difference is - 5. The 10^th term is _____ BBB

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BBB The 7^th term of the arithmetic sequence 12, 1 , 32, ......is ___.
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BBB In an arithmetic sequence a₁ = x, d = 4x, the 4^th term is ______. BBB

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BBB The first term of an arithmetic sequence is - 8 and the 12^th term is 36. What is the 16^th term? BBB

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BBB The n^th term of the arithmetic sequence 8, 16, 24, 32, ... is ______.
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BBB In an arithmetic sequence a₅ = 45 and a₁₄ = 126. The common difference is____
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BBB What is the arithmetic mean of 24 and 32 ? BBB

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BBB The arithmetic mean between two terms in an arithmetic sequence is 37. If one term is 30, then find the other term. BBB

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BBB Which term of the arithmetic sequence with first term as 4 and common difference as 8 is 92? BBB

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BBB If a₁ = x + 14, d = 5x - 11, then find the value of a₁₂. BBB

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BBB What are the three arithmetic means between 36 and 72? BBB

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BBB Two arithmetic means are inserted between 31 and 79. What is the common difference? BBB

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BBB The difference between the 8^th term and 1^st term of an arithmetic sequence 13, 8, 3, - 2, .... is _________. BBB

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c The n^th term of an arithmetic sequence is 8n - 4. What is the 8^th term?
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c If the n^th term of an arithmetic sequence is 13n + 9, then the common difference is ___.
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c The common difference of the arithmetic sequence 3, 3 + 4⁴, 3 + 2 · 4⁴, 3 + 3 · 4⁴, ... is ___ c

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c What is the value of a₂₃ - a₁₃ for the arithmetic sequence 64, 54, 44,.... ?
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c If x is added to each term of the arithmetic sequence 8, 21, 34, 47, ... then the common difference of the new sequence is ____.
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c For what value of k, 4k - 5, 6k + 4 and 5k + 25 are the three consecutive terms in an arithmetic sequence ? c

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c If the common difference of the arithmetic sequence a₁, a₂, a₃, a₄, ... is d, then what is the common difference of the arithmetic sequence 35a₁, 35a₂, 35a₃, ... is? c

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c If 4 is the common difference of the arithmetic sequence a₁, a₂, a₃, ... and 43 is the common difference for the arithmetic sequence b₁, b₂, b₃, ... , then the common difference for the arithmetic sequence a₁ + b₁, a₂ + b₂, a₃ + b₃, ... is:
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c Evaluate: 1² - 2² + 3² - 4² + 5² - 6² + ...........+ 3009² - 3010² + 3011²
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