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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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688 prompts matching "Treating any vector with small components as a unit vector"

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Show All Working: Deciding whether a given number is a term of a sequence

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on deciding whethe

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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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Explain Back: Finding the first term from two given terms

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

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Explain Back: Finding the first term from the sum and the common difference

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

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Common Mistakes: Proving the sum formula by pairing the terms

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Worked Example: Finding the common ratio of a geometric progression

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Explain Back: Finding the first term from two given terms of a geometric progression

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Common Mistakes: Inserting a geometric mean between two numbers

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Worked Example: Which form of the sum formula to use when r is less than one

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

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Worked Example: Adding or subtracting the same number on both sides

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Explain Back: Solving a linear inequality that contains brackets

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Worked Example: The critical values of a quadratic inequality

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Explain Back: The solution when the quadratic expression is greater than nought

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Show All Working: Writing a quadratic solution set in interval form

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Worked Example: Solving the equation modulus of x equals a

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