Sequences and Series
Authored by Jill Parker
Mathematics
9th - 12th Grade
CCSS covered
Used 20+ times
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About
This quiz comprehensively covers sequences and series, targeting high school students in grades 9-12 studying Algebra II or Pre-Calculus. The content focuses on both arithmetic and geometric sequences and series, requiring students to identify sequence types, find specific terms using explicit and recursive formulas, determine common differences and ratios, and calculate sums of finite series. Students must demonstrate mastery of pattern recognition, algebraic manipulation, and the ability to distinguish between arithmetic sequences (with constant differences) and geometric sequences (with constant ratios). The quiz also assesses conceptual understanding of convergent versus divergent sequences, proper mathematical notation including summation symbols, and real-world applications such as the auditorium seating problem. Students need strong algebraic skills to work with exponential expressions, recursive relationships, and the formulas for nth terms and series sums. This quiz was created by a classroom teacher who designed it for students studying sequences and series in grades 9-12. The assessment serves multiple instructional purposes, functioning effectively as a comprehensive review before a unit test, homework reinforcement after introducing new concepts, or formative assessment to gauge student understanding throughout the unit. Teachers can use individual questions as warm-up problems to activate prior knowledge or assign sections focusing on specific concepts like identifying sequence types or calculating series sums. The mix of computational problems, conceptual definitions, and application questions makes this quiz valuable for differentiated instruction, allowing students to demonstrate understanding at various levels of complexity. The content aligns with Common Core standards A-SSE.4 (deriving formulas for arithmetic and geometric series) and F-BF.2 (writing arithmetic and geometric sequences recursively and explicitly), supporting the mathematical practices of pattern recognition and mathematical modeling essential for advanced algebraic thinking.
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30 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the 22nd term of the following sequence:
5, 8, 11, ...
Tags
CCSS.HSF.BF.A.2
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find a12 in the sequence -1, -3, -9, -27, ...
Tags
CCSS.HSF.BF.A.2
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the nth term of...
2,1,0,-1...
Tags
CCSS.HSF.BF.A.2
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .
Tags
CCSS.HSF.BF.A.2
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?
Tags
CCSS.HSF.BF.A.2
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the missing terms in the geometric sequence
2, __, __, __, 13122,...
Tags
CCSS.HSF.BF.A.2
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the missing terms in the arithmetic sequence
1, __, __, __, 29,...
Tags
CCSS.HSF.BF.A.2
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