1,334 prompts matching "The sum to infinity of a geometric progression, and when it exists"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Multi-part matrix question: add then multiply
Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul
Compare expanding a determinant along different rows
I am in SS 3. Give me one 3x3 matrix and ask me to evaluate its determinant twice — once e
Verify A times A-inverse equals the identity
I am in SS 3. Give me a 2x2 matrix and its inverse, ask me to multiply them together, and
Teach me composition of coplanar forces
I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr
Explain when to use binomial versus Poisson
I am in SS 3. Explain the conditions under which I should use a binomial distribution vers
Spot my mistake in standardising a normal variable
I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf
Show all working: combined binomial and normal question
I am in SS 3. Give me a Cambridge Additional Mathematics style question that has a binomia
Teach me 3D vectors from scratch
I am in SS 3. Teach me how vectors work in three dimensions using i, j, k notation, as if
Quiz me on unit vectors
I am in SS 3. Quiz me on finding unit vectors from given vectors in 2D and 3D, and check w
WAEC past-question practice: vectors #1
I am in SS 3. Give me a WAEC Further Mathematics past-question style problem on vector add
WAEC past-question practice: vectors #3
I am in SS 3. Give me a WAEC Further Mathematics exam-style question on position vectors a
Find and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify
Find and classify stationary points #2
I am in SS 3. Give me a calculus problem where y = 2x^3 - 15x^2 + 24x, find the stationary
Find and classify stationary points #3
I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum
Spot my mistake using the product rule
I am in SS 3. I differentiated a product of two functions but I think I mixed up the produ
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
Show all working: differentiation and stationary points question
I am in SS 3. Give me a Cambridge Additional Mathematics style question requiring differen
Kinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
Kinematics: equations of motion practice #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a