1,334 prompts matching "The sum of an arithmetic progression with a negative common difference"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Find the inverse of a 2x2 matrix #2
I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us
Find the inverse of a 3x3 matrix using cofactors #1
I am in SS 3. Give me a 3x3 matrix like A=[[1,2,3],[0,1,4],[5,6,0]] and guide me through f
Explain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Explain the parallelogram of forces
Explain the parallelogram law for finding the resultant of two forces, with a labelled dia
Show all working: resultant of forces question
I am in SS 3. Give me a Cambridge Additional Mathematics style mechanics question asking f
Explain standard deviation and the normal curve
I am in SS 3. Explain how standard deviation affects the spread of a normal distribution c
Find the moment of a force about a point #1
I am in SS 3. Give me a moments problem with a force of 15N acting at a distance of 2m fro
Find the moment of a force about a point #2
I am in SS 3. Give me a moments problem with two forces of 10N and 6N acting at 3m and 5m
Find the moment of a force about a point #4
I am in SS 3. Give me a moments problem with a see-saw problem with two people of differen
Explain the conditions for equilibrium of a rigid body
I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu
Explain the polygon of forces
I am in SS 3. Explain what the polygon of forces method is and how it shows several concur
Solve a friction and forces of equilibrium problem #1
I am in SS 3. Give me a problem where a block of mass 5kg on a rough horizontal surface wi
Quiz me on modulus and argument of complex numbers
I am in SS 3. Quiz me with two complex numbers in different quadrants and ask me to find t
Quiz me on rates of change problems
I am in SS 3. Quiz me with a short rates-of-change word problem involving calculus, such a
Learn: The union of two sets written in set-builder notation
You are my personal SS3 Further Mathematics tutor. Teach me the union of two sets written
WAEC Prep: The number of elements in the union of two sets
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Final Revision: Deciding whether a set under an operation forms a group
Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.
Spot My Mistake: The power law of logarithms
Act as my SS3 Further Mathematics tutor. Work a question on the power law of logarithms wi