Common Core HSA.SSE.B.4 worksheet
High school · 16 questions · Common Core: HSF.BF.A.2, HSA.SSE.B.4, HSF.LE.A.2 · England: GCSE Higher Algebra, A-level Pure Mathematics
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Question 1
Evaluate Σ (from k = 1 to 8) of (2k + 1).
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Question 2
A geometric series has sum to infinity 12 and common ratio 1/2. Find the first term.
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Question 3
Mei saves $1 in week 1 and doubles the amount saved each week. How much has Mei saved in total after 6 weeks? Give the amount as a number.
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Question 4
An arithmetic series has 37 terms. The first term is 30 and the last term is −78. Find the sum.
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Question 5
A ball is dropped from 8 m. Each bounce reaches 3/4 of the previous height. In theory it bounces for ever. What total distance does it travel?
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Question 6
Find the sum to infinity of the geometric series with first term 15 and common ratio −1/2.
Answer(as a fraction)
Question 7
Find the sum of the first 6 terms of 1 − 2 + 4 + …
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Question 8
Find the sum of the first 40 terms of the arithmetic series −4 + (−3) + (−2) + …
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Question 9
A geometric sequence starts 5, 10, 20, … What is the 8th term?
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Question 10
Evaluate Σ (from r = 1 to 8) of (−4r + 5).
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Question 11
Find the sum of the first 6 terms of 192 + 96 + 48 + …
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Question 12
The series 7 + 12 + 17 + … has a sum of 117. How many terms are there?
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Question 13
A theatre's first row has 18 seats and each row has 4 more than the row in front. There are 13 rows. How many seats are there altogether?
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Question 14
Evaluate Σ (from r = 1 to 3) of r².
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Question 15
Find the sum to infinity of the geometric series with first term 27 and common ratio 1/3. Give a fraction if needed.
Answer(as a fraction)
Question 16
Evaluate Σ (from r = 1 to 5) of 3^r.
Answer
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