Watch comprehensive video reviews for most units, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.
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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.
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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 1.3
A sequence is geometric if the ratio between consecutive terms is always constant, ie
We call r the common ratio.
For instance, the sequence
is geometric with r=41, but
is not since 69=23=2=36.
Example
For what value(s) of k is the sequence 2, (k−1),8… geometric?
The sequence is geometric if
Cross multiplying:
Simplifying:
Factoring
So k=5 or k=−3.
SL Core 1.3
A sequence is geometric if the ratio between consecutive terms is always constant, ie
We call r the common ratio.
For instance, the sequence
is geometric with r=41, but
is not since 69=23=2=36.
Example
For what value(s) of k is the sequence 2, (k−1),8… geometric?
The sequence is geometric if
Cross multiplying:
Simplifying:
Factoring
So k=5 or k=−3.