Watch comprehensive video reviews 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
Watch comprehensive video reviews for Sequences & Series, 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.
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SL Core 1.2
A sequence is arithmetic if the difference between consecutive terms is constant, ie un+1−un=d, the common difference, for all n. For example
is arithmetic but
is not since 9−5=4=5−2=3.
Example
Given that 2,2k+3,11 are consecutive terms in an arithmetic sequence, find k.
The difference between consecutive terms is a constant so:
So k=47.
SL Core 1.2
A sequence is arithmetic if the difference between consecutive terms is constant, ie un+1−un=d, the common difference, for all n. For example
is arithmetic but
is not since 9−5=4=5−2=3.
Example
Given that 2,2k+3,11 are consecutive terms in an arithmetic sequence, find k.
The difference between consecutive terms is a constant so:
So k=47.