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
The sequence 0, −4, −8, … continues with the same difference. Which term is equal to −216?
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Question 2
An arithmetic sequence starts 29, 38, 47, … Find the 69th term.
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Question 3
In an arithmetic sequence, a₃ = −5 and a₁₂ = 31. Find the first term a₁.
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Question 4
The sequence 5, 7, 9, … continues with the same difference. Which term is equal to 79?
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Question 5
An arithmetic sequence starts 26, 23, 20, … Find the 67th term.
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Question 6
In an arithmetic sequence, a₇ = 0 and a₉ = −2. Find the common difference d.
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Question 7
The sequence 5, 14, 23, … continues with the same difference. Which term is equal to 158?
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Question 8
An arithmetic sequence starts −3, −10, −17, … Find the 83th term.
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Question 9
In an arithmetic sequence, a₅ = 19 and a₉ = 51. Find the first term a₁.
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Question 10
The sequence −4, 5, 14, … continues with the same difference. Which term is equal to 248?
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Question 11
An arithmetic sequence starts −6, −5, −4, … Find the 47th term.
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Question 12
In an arithmetic sequence, a₈ = −56 and a₁₂ = −80. Find the first term a₁.
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Question 13
The sequence −7, −1, 5, … continues with the same difference. Which term is equal to 113?
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Question 14
An arithmetic sequence starts 10, 4, −2, … Find the 73th term.
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Question 15
In an arithmetic sequence, a₈ = 46 and a₁₁ = 70. Find the common difference d.
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Question 16
The sequence 11, 19, 27, … continues with the same difference. Which term is equal to 411?
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