1,334 prompts matching "The decimal expansion of an irrational number, and why it never repeats"
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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
WAEC Prep: Why the sum to infinity fails when the ratio reaches one
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through why the sum to inf
WAEC Prep: The condition for a geometric series to converge
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
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
WAEC Prep: Clearing the denominators before comparing coefficients
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through clearing the denom
WAEC Prep: Substituting a convenient value to find one constant
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through substituting a con
Spot My Mistake: Partial fractions with an irreducible quadratic factor
Act as my SS3 Further Mathematics tutor. Work a question on partial fractions with an irre
WAEC Prep: The remainder when a polynomial is divided by a quadratic
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through the remainder when
WAEC Prep: A polynomial leaving the same remainder for two different divisors
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a polynomial leavi
Practice: Finding a remainder without carrying out the division
Act as my SS3 Further Mathematics tutor. Give me five practice questions on finding a rema
Scalar multiplication of a matrix #1
I am in SS 3. Set me a scalar multiplication question like A=[[5,-1],[2,3]], k=4, let me a
Scalar multiplication of a matrix #2
Set me a scalar multiplication question like A=[[-2,3],[1,0]], k=-3, let me attempt multip
Scalar multiplication of a matrix #3
Set me a scalar multiplication question like A=[[1,2,-1],[0,3,2],[4,1,0]], k=2, let me att
Scalar multiplication of a matrix #5
I am in SS 3. Set me a scalar multiplication question like A=[[0,-4,1],[2,1,-2],[3,0,5]],
Explain the identity matrix
Explain what the identity matrix I is and show, with a 3x3 numerical example, that AI = IA
Evaluate a 2x2 determinant #2
I am in SS 3. Give me a 2x2 matrix like A=[[7,-2],[3,1]] and ask me to evaluate its determ
Evaluate a 2x2 determinant #3
Give me a 2x2 matrix like A=[[6,4],[-1,5]] and ask me to evaluate its determinant using ad
Evaluate a 2x2 determinant #4
Give me a 2x2 matrix like A=[[-3,2],[4,-5]] and ask me to evaluate its determinant using a
Evaluate a 2x2 determinant #6
I am in SS 3. Give me a 2x2 matrix like A=[[0,-4],[6,2]] and ask me to evaluate its determ
Solve simultaneous equations with Cramer's rule (order 2) #2
I am in SS 3. Use Cramer's rule to solve 3x - y = 5 and 2x + 4y = 6. Set up the coefficien