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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,112 prompts matching "Sum of a geometric series with a negative common ratio"

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

Practice: The sum to infinity of a convergent geometric series

Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum to inf

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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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Structured question: sum of a series expressed using sigma notation

I am in SS 3. Give me a structured question where a sum is written using sigma notation fo

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Explain Back: The sum of the first n terms of a geometric progression

I have just studied the sum of the first n terms of a geometric progression in my SS3 Furt

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Worked Example: The common acceleration of two connected particles

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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with

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Show that command word: sum of an arithmetic progression

I am in SS 3. Set me a 'show that' question requiring me to derive the sum of the first n

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Structured question: geometric progression with two given terms

I am in SS 3. Give me a structured geometric progression question where two non-consecutiv

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Find the sum of the first 15 terms of an AP

I am in SS 3. Give me a structured question where I am given the first term and common dif

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Give me an exam formula sheet for sum and product of roots

I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro

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Spot my mistake: geometric progression sum to infinity

I am in SS 3. I will show you my working for a sum to infinity question. Check whether I v

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Learn: The distributive law for a scalar over a sum of matrices

You are my personal SS3 Further Mathematics tutor. Teach me the distributive law for a sca

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WAEC Prep: Summing the components of several concurrent forces

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Learn: The algebraic sum of moments when the senses differ

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WAEC Prep: The position vector of a point dividing a line in a ratio

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

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WAEC Prep: Why the square root of a negative number needs i

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the square roo

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WAEC Prep: The geometric meaning of adding two complex numbers

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

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WAEC Prep: The sum and product of a pair of complex roots

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the sum and produc

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WAEC Prep: Differentiating a sum of a polynomial and a trigonometric term

Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through differentiating a

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Spot My Mistake: Finding the constant of integration from a given point

Act as my SS3 Further Mathematics tutor. Work a question on finding the constant of integr

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