Arithmetic and geometric sequences and series
11th grade (Year 12 in England) · 16 questions · Common Core: HSF.BF.A.2, HSA.SSE.B.4, HSF.LE.A.2 · England: GCSE Higher Algebra
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Question 1
Find the sum of the first 37 terms of the arithmetic series −8 + (−13) + (−18) + …
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Question 2
A geometric sequence starts 2, −6, 18, … What is the 8th term?
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Question 3
Find the sum of the first 3 terms of the geometric series 4 + 8 + 16 + …
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Question 4
Find the sum of the first 14 terms of the arithmetic series 5 + 13 + 21 + …
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Question 5
A geometric sequence starts 3, 6, 12, … What is the 7th term?
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Question 6
Find the sum of the first 5 terms of the geometric series 3 + 6 + 12 + …
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Question 7
Find the sum of the first 10 terms of the arithmetic series −9 + (−13) + (−17) + …
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Question 8
A geometric sequence starts 4, 12, 36, … What is the 7th term?
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Question 9
Find the sum of the first 5 terms of the geometric series 2 + 4 + 8 + …
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Question 10
Find the sum of the first 28 terms of the arithmetic series −5 + (−8) + (−11) + …
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Question 11
A geometric sequence starts 1, −2, 4, … What is the 4th term?
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Question 12
Find the sum of the first 3 terms of the geometric series 3 + 6 + 12 + …
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Question 13
Find the sum of the first 23 terms of the arithmetic series 16 + 19 + 22 + …
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Question 14
A geometric sequence starts 4, −12, 36, … What is the 5th term?
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Question 15
Find the sum of the first 3 terms of the geometric series 1 + 3 + 9 + …
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Question 16
Find the sum of the first 26 terms of the arithmetic series −4 + (−1) + 2 + …
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