1,301 prompts matching "An arithmetic progression with a negative common difference"
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Find the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
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
Evaluating a function at a negative value
I am in SS 3. Teach me evaluating a function at a negative input value, such as finding f(
One-to-one versus many-to-one functions
I am in SS 3. Give me a Cambridge IGCSE Additional Mathematics style exam question on the
Show that command word: laws of indices
I am in SS 3. Set me a 'show that' question requiring me to simplify an expression with fr
Structured question: find the nth term and a specific term of an AP
I am in SS 3. Give me a structured arithmetic progression question where I first find the
WAEC exam question: mixed AP and GP problem
I am in SS 3. Give me a WAEC-style Further Maths question that mixes arithmetic and geomet
Evaluate log5(200) using change of base
I am in SS 3. Set me a non-calculator style question to evaluate log5(200) using the chang
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
Spot My Mistake: The vector from A to B as the difference of two position vectors
Act as my SS3 Further Mathematics tutor. Work a question on the vector from A to B as the
WAEC Prep: Why the square root of a negative number needs i
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the square roo
WAEC Prep: A geometric progression in which one term is given as a product
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a geometric progre
WAEC Prep: The nth term of a geometric progression
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Spot My Mistake: Finding the common ratio from two given terms
Act as my SS3 Further Mathematics tutor. Work a question on finding the common ratio from
Define particle and rigid body in mechanics
Ask me to explain the difference between a particle and a rigid body in mechanics, with an
Teach me the basics of force, mass and weight
I am in SS 3. Teach me the difference between mass, force and weight from scratch, as if I
Solve a quadratic equation with complex roots #1
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 + 4 = 0 for c
Solve a quadratic equation with complex roots #2
I am in SS 3. Give me a quadratic equation problem where I need to solve x^2 - 2x + 5 = 0
Solve a quadratic equation with complex roots #3
I am in SS 3. Give me a quadratic equation problem where I need to solve 2x^2 + x + 3 = 0
Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve