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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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
Sums with ∑ have the following properties:
Sum of a sum:
Sum of a multiple:
Sum of constant:
Splitting the sum:
Example
It is given that k=1∑11ak=40, k=1∑7ak=22, and k=8∑11bk=5.
Find k=8∑11(ak+2bk):
SL Core 1.2
Sums with ∑ have the following properties:
Sum of a sum:
Sum of a multiple:
Sum of constant:
Splitting the sum:
Example
It is given that k=1∑11ak=40, k=1∑7ak=22, and k=8∑11bk=5.
Find k=8∑11(ak+2bk):