Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,318 prompts matching "Sum of the first n terms of a geometric series"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Find the moment of a force about a point #3
I am in SS 3. Give me a moments problem with a beam in equilibrium under three forces at d
Subscribe to unlock allGP with 3rd term 18 and 6th term 486: find a and r
I am in SS 3. Give me a structured geometric progression question where the 3rd term is 18
Subscribe to unlock allStructured word problem: market trader's geometric savings
I am in SS 3. Give me a structured geometric progression word problem where a market trade
Subscribe to unlock allSpot my mistake in a determinant expansion
I am in SS 3. I expanded a 3x3 determinant along the first row but I think I mixed up a si
Subscribe to unlock allFind the coefficient command word: binomial expansion
I am in SS 3. Set me an exam question phrased 'find the coefficient of x^n', for a binomia
Subscribe to unlock allStructured 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
Subscribe to unlock allAP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
Subscribe to unlock allGive me an exam formula sheet for sequences and series
I am in SS 3. Build me a short formula sheet covering every formula I need for arithmetic
Subscribe to unlock allGive me a past-paper style question bank for sequences and series
I am in SS 3. Give me a bank of four exam-style questions on arithmetic and geometric prog
Subscribe to unlock allStructured word problem: population growth as a geometric sequence
I am in SS 3. Set me a structured word problem where a town's population grows geometrical
Subscribe to unlock allPractice: 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
Subscribe to unlock allPractice: A vector of stated magnitude in a given direction
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a vector of st
Subscribe to unlock allPractice: Why complex roots of a real quadratic come in conjugate pairs
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why complex ro
Subscribe to unlock allEvaluate a 2x2 determinant #1
I am in SS 3. Give me a 2x2 matrix like A=[[3,5],[2,4]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 2x2 determinant #5
I am in SS 3. Give me a 2x2 matrix like A=[[8,1],[2,3]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #1
Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and ask me to evaluate its determina
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #2
Give me a 3x3 matrix like A=[[2,0,-1],[3,1,2],[-1,4,0]] and ask me to evaluate its determi
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #3
I am in SS 3. Give me a 3x3 matrix like A=[[1,-2,3],[4,0,1],[2,1,-3]] and ask me to evalua
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #4
I am in SS 3. Give me a 3x3 matrix like A=[[3,1,2],[0,-1,4],[2,3,1]] and ask me to evaluat
Subscribe to unlock allEvaluate a 3x3 determinant by expansion #5
Give me a 3x3 matrix like A=[[5,-1,0],[2,3,1],[-2,0,4]] and ask me to evaluate its determi
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