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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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956 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.

Worked example: expanding (2x-3)^5 using the binomial formula

Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi

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Worked example: finding the middle term of a binomial expansion

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Quiz me on finding specific terms in expansions

Act as my SS2 Further Maths tutor. Quiz me with three binomial expansions and ask me to fi

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Spot my mistake finding a specific term

Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e

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Teach me the distance and midpoint formulas

Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an

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Teach me geometric progressions

Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t

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Spot my mistake in a geometric progression

Act as my SS2 Further Maths tutor. I calculated the sum of the first eight terms of a geom

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Teach me finding stationary points

Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom

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Give me practice on differentiation and stationary points

Act as my SS2 Further Maths tutor. Give me six practice questions on differentiating polyn

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Teach me the finding the modulus of a complex number

You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number

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Teach me finding the determinant of a 2x2 matrix

Act as my SS2 Further Maths tutor. Teach me how to find the determinant of a 2x2 matrix an

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Teach me finding the magnitude of a vector

Act as my SS2 Further Maths tutor. Teach me how to find the magnitude of a vector using Py

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Worked example: finding the angle between two vectors

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Worked example: standard deviation of a small data set

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Summarise polynomials and the remainder/factor theorems for quick revision

Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho

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Summarise permutations and combinations for quick revision

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Summarise trigonometric identities and equations for quick revision

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Summarise logarithms and indices for quick revision

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Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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