Summing Series Using Partial Fractions (AQA A-Level Further Maths): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
When does the method of differences work for summing a series?
When does the method of differences work for summing a series?
When term written as
What must be checked before attempting partial fraction decomposition?
What must be checked before attempting partial fraction decomposition?
Numerator degree < denominator degree
In the substitution method, which values should you choose to find constants?
In the substitution method, which values should you choose to find constants?
Values that make factors equal to zero
What is a telescoping series?
What is a telescoping series?
Series where middle terms cancel
If partial fractions have factors and , which terms cancel?
If partial fractions have factors and , which terms cancel?
Terms two rows apart
Why should differences be written vertically in method of differences?
Why should differences be written vertically in method of differences?
To clearly see cancellation pattern
For infinite series, what must be shown after cancellation?
For infinite series, what must be shown after cancellation?
Remaining terms approach 0 as
What is the standard form for partial fractions with two linear factors?
What is the standard form for partial fractions with two linear factors?
After telescoping cancellation, which terms typically survive?
After telescoping cancellation, which terms typically survive?
First few and last few terms only
What is a common mistake when setting up partial fractions?
What is a common mistake when setting up partial fractions?
Forgetting to multiply by denominator