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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "A truth table with three propositions in it"

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Worked Example: Writing an index statement as a logarithm

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Explain Back: The logarithm of one, in any base

I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.

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Show All Working: The common logarithm, to base ten

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Practice: Combining two logarithms into one

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Explain Back: Splitting a single logarithm into several

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Explain Back: A logarithmic equation written in two different bases

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Show All Working: Comparing logarithms given in different bases

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

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Worked Example: Finding the common difference of an arithmetic progression

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Practice: Finding the twentieth term of a given arithmetic progression

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Practice: Finding n when the sum of an arithmetic progression is given

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Show All Working: The sum of the terms lying between two given positions

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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Explain Back: Solving a linear inequality that contains brackets

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Show All Working: Writing the solution of an inequality as a set

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Common Mistakes: A double inequality such as 2 less than x less than 7

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