1,331 prompts matching "Which form of the sum formula to use when r is less than one"
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Structured question: the constant term in a binomial expansion
You are my SS3 Further Mathematics tutor. Teach me the constant term in a binomial expansi
WAEC exam question: rate of change problem
I am in SS 3. Give me a WAEC-style Further Maths question involving a rate of change, such
Quiz me on logic symbols and their meanings
I am in SS 3. Quiz me by giving me logic symbols one at a time, such as negation, conjunct
Structured question: fully factorise x^3 + 4x^2 - 11x - 30
I am in SS 3. Give me the cubic x^3 + 4x^2 - 11x - 30 as a structured factorisation questi
WAEC exam question: two unknowns from remainder and factor conditions
I am in SS 3. Give me a WAEC-style polynomial question where a cubic has two unknown coeff
Find the centre and radius from x^2+y^2-6x+8y-11=0
I am in SS 3. Give me the circle equation x^2+y^2-6x+8y-11=0 as a structured question aski
Solve 2cos^2(x) - cos(x) - 1 = 0 for 0 to 360 degrees
I am in SS 3. Give me the quadratic trigonometric equation 2cos^2(x)-cos(x)-1=0 to solve f
Worked example: fully factorise x^3 - 7x + 6
I am in SS 3. Show me a full worked example factorising the cubic x^3 - 7x + 6 completely
Worked example: solve the simultaneous system y = 2x - 1 and y = x^2 - 4
I am in SS 3. Show me a full worked example solving the linear-quadratic system y=2x-1 and
Simulate a WAEC Further Maths Section B theory question
I am in SS 3. Give me one long theory-style Further Maths question, similar to the Section
Check whether my exam layout would satisfy a Cambridge examiner
I am in SS 3. I will show you my working for one exam-style question covered so far. Tell
Structured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Structured question: trig equation with a coefficient inside the angle
I am in SS 3. Give me a structured trigonometric equation question where the angle inside
Structured question: simplifying a surd raised to a fractional index
I am in SS 3. Give me a structured question simplifying an expression that combines a surd
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
Explain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Non-calculator paper: coordinate geometry with fractional gradients
I am in SS 3. Give me a non-calculator coordinate geometry question where the gradient wor
WAEC Prep: The commutative law for matrix addition
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the commutative la
Quiz: The zero matrix as the identity for matrix addition
Act as my SS3 Further Mathematics tutor and quiz me on the zero matrix as the identity for
WAEC Prep: Multiplying two 2 by 2 matrices, row into column
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o