1,334 prompts matching "The sum of an arithmetic progression with a negative common difference"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Show that (sqrt3+1)^2 = 4+2sqrt3
I am in SS 3. Set me the 'show that' surd question (sqrt3+1)^2 = 4+2sqrt3, and check that
Structured question: circle centre (3,-2) radius 5
I am in SS 3. Give me a structured question where the circle has centre (3,-2) and radius
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
Prove that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
Spot my mistake: finding a stationary point
I am in SS 3. I will show you my working for finding and classifying a stationary point of
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 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Structured word problem: WAEC exam hall seating combinations
I am in SS 3. Set me a structured combinations word problem about choosing students for an
Diagnose my weak topics using a short quiz
I am in SS 3. Give me one short question from each major topic covered so far in Further M
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: 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
Structured question: logarithmic inequality
I am in SS 3. Set me a structured question solving a simple logarithmic inequality, and ch
WAEC exam question: polynomial division real-world framing
I am in SS 3. Give me a WAEC-style Further Maths question that frames polynomial long divi
Worked Example: Adding two 3 by 3 matrices
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on adding
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
Worked Example: Finding a value from a given probability by working backwards
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Worked Example: Testing two vectors for perpendicularity
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on testin