Use aₙ = a₁ + (n − 1)d for arithmetic sequences
9th grade (Year 10 in England) · 16 questions · Common Core: HSF.BF.A.2, HSF.LE.A.2 · England: GCSE Foundation Algebra
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Question 1
In an arithmetic sequence, a₁₀ = 69 and a₁₂ = 81. Find the common difference d.
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Question 2
An arithmetic sequence starts 21, 28, 35, … Find the 39th term.
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Question 3
The sequence −7, −2, 3, … continues with the same difference. Which term is equal to 103?
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Question 4
In an arithmetic sequence, a₂ = 0 and a₁₀ = 8. Find the common difference d.
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Question 5
An arithmetic sequence starts 1, −5, −11, … Find the 85th term.
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Question 6
The sequence 18, 23, 28, … continues with the same difference. Which term is equal to 288?
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Question 7
In an arithmetic sequence, a₄ = −17 and a₁₂ = −73. Find the common difference d.
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Question 8
An arithmetic sequence starts 19, 15, 11, … Find the 95th term.
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Question 9
The sequence −4, −1, 2, … continues with the same difference. Which term is equal to 44?
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Question 10
In an arithmetic sequence, a₃ = −9 and a₇ = −33. Find the common difference d.
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Question 11
An arithmetic sequence starts 4, 0, −4, … Find the 41th term.
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Question 12
The sequence 18, 13, 8, … continues with the same difference. Which term is equal to −137?
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Question 13
In an arithmetic sequence, a₄ = 27 and a₈ = 59. Find the common difference d.
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Question 14
An arithmetic sequence starts 3, 10, 17, … Find the 26th term.
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Question 15
The sequence 20, 25, 30, … continues with the same difference. Which term is equal to 145?
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Question 16
In an arithmetic sequence, a₈ = −55 and a₉ = −62. Find the first term a₁.
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