Topics
Watch comprehensive review videos for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Watch comprehensive review videos for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Not your average video:
Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.
Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.
Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.
Sequences & Series
The video will automatically pause when it reaches a problem.
What is a sequence?
A sequence is simply an ordered list of numbers arranged according to a certain pattern or rule. Each number in the sequence is called a term, and we usually label these terms as u1,u2,u3,,un,…. The number un is known as the nth term of the sequence.
For example, consider these sequences:
Sequence A: 2,4,6,8,10,…
Sequence B: 1,21,41,81,…
Sequence C: 3,−1,4,−1,5,…
Sequences can have various behaviors:
They might increase, decrease, alternate, or approach a specific value.
They can be described explicitly (with a clear formula for each term) or recursively (each term defined in relation to previous ones).
Understanding the general idea of sequences prepares us for learning special kinds of sequences, like arithmetic and geometric sequences, each of which follows specific and interesting rules.
Sequences & Series
The video will automatically pause when it reaches a problem.
What is a sequence?
A sequence is simply an ordered list of numbers arranged according to a certain pattern or rule. Each number in the sequence is called a term, and we usually label these terms as u1,u2,u3,,un,…. The number un is known as the nth term of the sequence.
For example, consider these sequences:
Sequence A: 2,4,6,8,10,…
Sequence B: 1,21,41,81,…
Sequence C: 3,−1,4,−1,5,…
Sequences can have various behaviors:
They might increase, decrease, alternate, or approach a specific value.
They can be described explicitly (with a clear formula for each term) or recursively (each term defined in relation to previous ones).
Understanding the general idea of sequences prepares us for learning special kinds of sequences, like arithmetic and geometric sequences, each of which follows specific and interesting rules.