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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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700 prompts matching "Show that a geometric series converges and find its sum to infinity"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Spot My Mistake: Why root 8 and root 2 turn out to be similar

Act as my SS1 Further Mathematics tutor. Work a question on why root 8 and root 2 turn out

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Worked Example: Adding two surds that simplify to the same root

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Final Revision: Simplifying a fraction whose numerator and denominator are both surds

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Worked Example: Rationalising a denominator that is a single surd

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Spot My Mistake: Rationalising and then cancelling a common factor

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Quiz: Left distributivity and right distributivity

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Explain Back: Showing distributivity fails by a counter-example

I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Final Revision: Identity and inverse together, and what they give the set

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Learn: Reading index notation, the base and the exponent

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Quiz: A negative index on a fraction, and turning it upside down

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Final Revision: The characteristic and the mantissa of a logarithm

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Learn: What a sequence is, and what a term means

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Worked Example: Writing out the terms of a sequence from its nth term

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Final Revision: Describing a sequence in words and then in symbols

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Worked Example: Finding the common difference of an arithmetic progression

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Explain Back: Finding the first term from two given terms

I have just studied finding the first term from two given terms in my SS1 Further Mathemat

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Worked Example: The alternative sum formula that uses the last term

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Explain Back: The sum of a geometric progression with a negative common ratio

I have just studied the sum of a geometric progression with a negative common ratio in my

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