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SAT/Sphere
The all-in-one SAT prep platform for everyone!
© 2025 SAT/Sphere. All rights reserved.
SAT/Sphere
The all-in-one SAT prep platform for everyone!
© 2025 SAT/Sphere. All rights reserved.
Find the perfect SAT prep plan designed to match your goals, study style, and budget. Begin your journey to top scores and college admission success with SAT Sphere!
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This SAT Sphere lesson focuses on essential SAT test topics in the Sequences and Series section. You'll build a strong understanding of core concepts, learn time-saving test-taking strategies, and apply your knowledge to realistic Digital SAT practice questions.
01
Introduction to Sequences and Series
Explains why recognizing patterns of growth is crucial for Digital SAT problem-solving and reminds students to recall exponent laws, linear growth, and translating word phrases to algebraic expressions.
02
Recognizing and Notating Sequences
Defines sequences, introduces subscript notation for terms, and refreshes index use from earlier work with function notation.
03
Arithmetic Sequences and the nth-Term Formula
Derives $$a_n = a_1 + (n-1)d$$ and relates constant differences to the slope concept from linear functions studied in Fundamentals of Algebra.
04
Practice: Arithmetic Sequences
Provides SAT-style items that reinforce finding terms and common differences, extending prior practice with linear patterns.
05
Geometric Sequences and the nth-Term Formula
Introduces an=a1r^{n−1} and connects constant ratios to exponential functions covered in the previous lesson on Exponents & Logarithms.
06
Practice: Geometric Sequences
Offers targeted problems on identifying the common ratio and computing specific terms, reinforcing exponent manipulation skills.
07
Classifying Sequence Type
Trains students to distinguish arithmetic, geometric, and neither, building on differences between linear and exponential change.
08
Series and Sigma Notation
Introduces summation symbols and partial sums, extending the translation skills from earlier expression-building slides.
09
Summation of Arithmetic Series
Derives and applies the formula S_n = n/2 (a_1 + a_n) for quick calculation of arithmetic sums, reinforcing linear pattern recognition.
10
Summation of Geometric Series and Convergence
Derives finite-sum formula and introduces infinite-sum convergence when |r|<1, extending Slide 5’s geometric concepts.
11
Key Takeaways and Targeted Practice
Combines arithmetic and geometric series problems with time-saving strategies, spiraling back to sign management and exponent rules from prior modules.
View Example SAT Lesson with Practice Questions and Explanations
Each SAT Sphere lesson is a focused, interactive learning experience aligned with the new Digital SAT exam format. Lessons include SAT practice questions, detailed explanations, and concept reviews to support your SAT Math or Reading and Writing preparation. Designed for measurable improvement, our SAT lessons build confidence and mastery one topic at a time.
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Access a complete Digital SAT curriculum that covers all tested topics and question types.
Build Your Digital SAT Skills with the Advanced Algebra and Functions Module
This lesson is part of the Advanced Algebra and Functions module, a structured SAT prep unit designed to improve your performance in key areas of the Digital SAT. Each module includes multiple SAT-focused lessons that develop critical thinking, analytical skills, and test-taking confidence. Progress through each module to strengthen your understanding and raise your overall SAT score.
Advance your SAT preparation by completing other SAT Sphere lessons in the Advanced Algebra and Functions module. Each lesson targets a specific concept tested on the Digital SAT, helping you deepen your knowledge and refine your skills for the real exam.
08
Modules
SAT Sphere includes 8 focused modules that cover every topic tested in the Math and Reading & Writing sections of the Digital SAT. Each module is built to strengthen core skills and test-taking ability.
86
Lessons
With 86 in-depth lessons, SAT Sphere helps you understand key SAT concepts clearly and efficiently. Our lessons break down each topic into simple, actionable parts.
10k+
Practice
Apply your knowledge using interactive SAT-style practice questions. Get immediate insights with feedback and explanations that help you improve fast.
+6k
Flash cards
Reinforce your learning with more than 6900 flash cards. Use them to review vocabulary, grammar, math facts, and more — anytime, anywhere.
Personalized study plan
Stay organized with our AI-powered study planner. Set your test date and daily study goals, and get a custom SAT prep plan tailored to your pace. Make consistent progress and be fully prepared by test day.
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SAT/AI gives you personalized, step-by-step guidance that fits your learning style. Stuck on a tough math problem or confused by a reading passage? SAT/AI breaks it down clearly, offers instant feedback, and helps you learn from mistakes—building your confidence and boosting your score, one question at a time.
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Begin your SAT preparation with SAT Sphere's comprehensive Digital SAT course. Access expertly crafted SAT lessons, interactive practice questions, and proven strategies to improve your SAT Math and SAT Reading and Writing scores. Whether you're aiming for a perfect 1600 or looking to boost your score, SAT Sphere guides you step-by-step toward SAT success.
Identify arithmetic and geometric sequences, then calculate series summations. Work through real-world and SAT exercises that reinforce each concept. Achieve fluency for any sequence-related Math question.
Master the SAT with our targeted lesson on Sequences and Series, part of SAT Sphere’s Digital SAT curriculum. This lesson delivers in-depth concept explanations, problem-solving techniques, and SAT-style practice questions to help you improve your SAT performance. Ideal for both SAT Math and Reading & Writing, each lesson helps you build confidence for test day.