Sum an arithmetic series and find its length
11th grade (Year 12 in England) · 16 questions · Common Core: HSA.SSE.B.4 · England: A-level Pure Mathematics
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Question 1
An arithmetic series has 33 terms. The first term is 19 and the last term is −45. Find the sum.
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Question 2
The series 1 + 6 + 11 + … has a sum of 1525. How many terms are there?
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Question 3
A theatre's first row has 19 seats and each row has 2 more than the row in front. There are 21 rows. How many seats are there altogether?
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Question 4
An arithmetic series has 8 terms. The first term is 24 and the last term is 38. Find the sum.
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Question 5
The series 9 + 10 + 11 + … has a sum of 217. How many terms are there?
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Question 6
A theatre's first row has 23 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 7
An arithmetic series has 37 terms. The first term is 21 and the last term is 201. Find the sum.
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Question 8
The series 7 + 9 + 11 + … has a sum of 391. How many terms are there?
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Question 9
A theatre's first row has 17 seats and each row has 4 more than the row in front. There are 12 rows. How many seats are there altogether?
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Question 10
An arithmetic series has 34 terms. The first term is 9 and the last term is 108. Find the sum.
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Question 11
The series 7 + 11 + 15 + … has a sum of 297. How many terms are there?
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Question 12
A theatre's first row has 21 seats and each row has 2 more than the row in front. There are 22 rows. How many seats are there altogether?
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Question 13
An arithmetic series has 29 terms. The first term is 1 and the last term is 113. Find the sum.
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Question 14
The series 3 + 6 + 9 + … has a sum of 693. How many terms are there?
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Question 15
A theatre's first row has 21 seats and each row has 1 more than the row in front. There are 10 rows. How many seats are there altogether?
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Question 16
An arithmetic series has 26 terms. The first term is 17 and the last term is 67. Find the sum.
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