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Pearson Algebra 2 Common Core, 2011
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4. Arithmetic Series
Entry-Level Assessment
1 Subchapters
1. Expressions, Equations, and Inequalities
p. 1-56
12 Subchapters
2. Functions, Equations, and Graphs
p. 57-130
15 Subchapters
3. Linear Systems
p. 131-190
13 Subchapters
4. Quadratic Functions and Equations
p. 191-276
20 Subchapters
5. Polynomials and Polynomial Functions
p. 277-356
17 Subchapters
6. Radical Functions and Rational Exponents
p. 357-430
16 Subchapters
7. Exponential and Logarithmic Functions
p. 431-494
15 Subchapters
8. Rational Functions
p. 495-560
16 Subchapters
9. Sequences and Series
p. 561-610
13 Subchapters
10. Quadratic Relations and Conic Sections
p. 611-670
14 Subchapters
11. Probability and Statistics
p. 671-760
19 Subchapters
12. Matrices
p. 761-824
14 Subchapters
13. Periodic Functions and Trigonometry
p. 825-900
17 Subchapters
14. Trigonometric Identities and Equations
p. 901-971
14 Subchapters
Skills Handbook
13 Subchapters
Finish the assignment
Start
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Lesson Check
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7 Solutions
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Practice and Problem-Solving Exercises
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49 Solutions
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Standardized Test Prep
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Mixed Review
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Exercise
47
Page
592
Page
592
Hint & Answer
Solution
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Thinking
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Hints
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A
a
The top row contains two cans. Then, each row has one more can than the previous.
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B
b
Use the
explicit formula
from Part A. For the
summation notation
the lower and upper limits are 1 and 10, respectively.
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C
c
Use the formula obtained in Part A.
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D
d
Use the formula for the
sum of a finite arithmetic series
.
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Check the answer
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A
a
a_n=n+1
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B
b
∑_(n=1)^9(n+1)
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C
c
18 cans
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D
d
Could the triangle have 110 cans?
No.
Could the triangle have 140 cans?
No.
Explanation:
See solution.
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Practice exercises
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Progress overview
Sums of Arithmetic Series
Level 1 exercises - Sums of Arithmetic Series
Level 2 exercises - Sums of Arithmetic Series
Level 3 exercises - Sums of Arithmetic Series
Subchapter links
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Lesson Check
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Practice and Problem-Solving Exercises
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Standardized Test Prep
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Mixed Review
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