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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,110 prompts matching "Sum of a series expressed with algebraic terms"

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

Show that command word: Pascal's triangle row sums to a power of 2

I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries

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Structured question: binomial expansion with a negative term

I am in SS 3. Give me a structured question expanding a binomial like (x - 2y)^n, checking

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Show that a geometric series converges and find its sum to infinity

I am in SS 3. Give me a structured question where I must first show a given geometric seri

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Give me a past-paper style question bank for sum and product of roots

I am in SS 3. Give me a bank of four exam-style questions on sum and product of roots, ran

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Non-calculator paper: exact value question on sum and product of roots

I am in SS 3. Give me a non-calculator sum and product of roots question where the final a

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WAEC Prep: The product of a 2 by 2 matrix with the identity

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the product of a 2

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Worked Example: What a determinant of nought means for a 2 by 2 matrix

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on what a

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Explain Back: The determinant of a product as the product of the determinants

I have just studied the determinant of a product as the product of the determinants in my

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Practice: The sign pattern of the cofactors in a 3 by 3 determinant

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign patte

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Worked Example: Evaluating a 3 by 3 determinant by the rule of Sarrus

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on evalua

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Explain Back: What a coefficient determinant of nought says about the system

I have just studied what a coefficient determinant of nought says about the system in my S

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Practice: Turning a minor into a cofactor with the sign rule

Act as my SS3 Further Mathematics tutor. Give me five practice questions on turning a mino

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m

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WAEC Prep: The weight of a body on the moon compared with on earth

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the weight of a bo

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WAEC Prep: The angle the resultant makes with the larger of two forces

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the angle the resu

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WAEC Prep: The triangle of forces used together with the cosine rule

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the triangle of fo

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Worked Example: Finding a particular term of a binomial expansion

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin

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WAEC Prep: Comparing the mean with the variance of a binomial distribution

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through comparing the mean

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Spot My Mistake: The proportion of a normal distribution within one, two and three standard deviations

Act as my SS3 Further Mathematics tutor. Work a question on the proportion of a normal dis

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Quiz: The direction of a vector as an angle with the x-axis

Act as my SS3 Further Mathematics tutor and quiz me on the direction of a vector as an ang

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