1,332 prompts matching "Finding the first term from the sum and the common difference"
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Explain Back: The elastic potential energy stored in a stretched string
I have just studied the elastic potential energy stored in a stretched string in my SS3 Fu
Show that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
Show that command word: binomial coefficient identity
I am in SS 3. Set me a 'show that' question involving binomial coefficients, such as showi
Show that command word: a function is its own inverse
I am in SS 3. Set me a 'show that' function question where I must show a given function is
Composite functions fg(x)
I am in SS 3. Teach me finding a composite function fg(x), meaning applying g first then f
Multi-part function exam question
I am in SS 3. Teach me a Cambridge/Additional Maths style multi-part function question tha
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
Practice: A 2 by 2 matrix multiplied by a column vector
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a 2 by 2 matri
Practice: A diagonal matrix
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a diagonal mat
Practice: Evaluating AB minus BA
Act as my SS3 Further Mathematics tutor. Give me five practice questions on evaluating AB
Practice: Resolving three forces in two perpendicular directions
Act as my SS3 Further Mathematics tutor. Give me five practice questions on resolving thre
Practice: Using a binomial expansion to approximate a number
Act as my SS3 Further Mathematics tutor. Give me five practice questions on using a binomi
Practice: A vector of stated magnitude in a given direction
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a vector of st
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
Practice: A body thrown vertically upwards
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a body thrown
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
Practice: Testing a binary operation for associativity
Act as my SS3 Further Mathematics tutor. Give me five practice questions on testing a bina
Practice: Factorising a cubic completely once one factor is known
Act as my SS3 Further Mathematics tutor. Give me five practice questions on factorising a
Practice: Choosing a committee that must contain one particular person
Act as my SS3 Further Mathematics tutor. Give me five practice questions on choosing a com
Practice: A uniform beam resting on two supports
Act as my SS3 Further Mathematics tutor. Give me five practice questions on a uniform beam