1,334 prompts matching "The sum to infinity of a geometric progression, and when it exists"
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WAEC exam question: sequences applied to loan repayment
I am in SS 3. Give me a WAEC-style Further Maths question where a fixed amount is repaid e
Give me a mixed revision pack blending three topics
I am in SS 3. Give me a short mixed revision pack of three linked questions that blend qua
Help me interpret my own WAEC Further Maths past mistakes
I am in SS 3. I will describe a mistake I keep making on a particular type of Further Math
WAEC Prep: Checking a single entry of a 3 by 3 product
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through checking a single
Learn: What an unclosed polygon of forces tells you
You are my personal SS3 Further Mathematics tutor. Teach me what an unclosed polygon of fo
WAEC Prep: A Poisson distribution taken over a different length of interval
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a Poisson distribu
Practice: 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
Learn: Differentiating sin of a multiple of x
You are my personal SS3 Further Mathematics tutor. Teach me differentiating sin of a multi
Quiz: A rate of change problem about a vessel filling with water
Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve
Scalar multiplication of a matrix #4
I am in SS 3. Set me a scalar multiplication question like A=[[3,0],[-1,2]], k=5, let me a
Explain the zero matrix in matrix algebra
I am in SS 3. Explain the zero matrix and its effect in addition, using a 2x2 example to s
Order of matrices before multiplying
I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m
Solve a 3x3 system using the inverse matrix method #1
Show me how to solve the system x+y+z=6, 2x-y+z=3, x+2y-z=2 by writing it as AX=B, finding
Solve a 3x3 system using the inverse matrix method #2
I am in SS 3. Show me how to solve the system 2x+y-z=5, x-y+2z=1, 3x+2y+z=10 by writing it
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Define particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Quiz me on units of force
Quiz me on the SI unit of force and how it is derived from mass and acceleration, then giv
Show all working: resultant of forces question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
Teach me equilibrium of forces from scratch
I am in SS 3. Teach me what it means for forces to be 'in equilibrium' as if I have never
Show all working: moments and equilibrium question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question combinin