1,334 prompts matching "Sum of the first n terms of an arithmetic series"
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Quiz me on 2x2 and 3x3 determinants together
Quiz me with two questions, one 2x2 determinant and one 3x3 determinant, mark both, and te
Explain the meaning of a probability distribution
I am in SS 3. Explain what a probability distribution is and how it differs from a single
Find and classify the stationary points of y = x^3 - 6x^2 + 9x + 1
I am in SS 3. Give me the curve y = x^3 - 6x^2 + 9x + 1 as a structured question: find dy/
AP 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
Spot 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
Find 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
Structured 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
GP 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
Give 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
Give 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
Practice: Turning a minor into a cofactor with the sign rule
Act as my SS3 Further Mathematics tutor. Give me five practice questions on turning a mino
Practice: 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
Practice: The parallelogram law of forces
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the parallelog
Practice: Choosing the most convenient pair of directions to resolve along
Act as my SS3 Further Mathematics tutor. Give me five practice questions on choosing the m
Practice: Why the forces must sum to nought in two perpendicular directions
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why the forces
Practice: The probability of at least one success
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the probabilit
Practice: The probability of exactly r events in a Poisson distribution
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the probabilit
Practice: The conservation of momentum in a collision
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the conservati
Practice: The middle term when the power is odd
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the middle ter
Evaluate 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