838 prompts matching "A geometric progression with a fractional common ratio"
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WAEC Prep: A definite integral evaluated with the limits reversed
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through a definite integra
Quiz: A rate of change problem about a vessel filling with water
Act as my SS3 Further Mathematics tutor and quiz me on a rate of change problem about a ve
Practice: The sign convention for displacement, velocity and acceleration
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sign conve
Worked Example: Finding the first term and the common difference from two given terms
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on findin
Practice: The sum to infinity of a convergent geometric series
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the sum to inf
Explain Back: Writing a recurring decimal as a geometric series
I have just studied writing a recurring decimal as a geometric series in my SS3 Further Ma
WAEC Prep: Splitting a fraction with two distinct linear factors
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Explain Back: Partial fractions with a repeated linear factor
I have just studied partial fractions with a repeated linear factor in my SS3 Further Math
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
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
Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Solve a 3x3 simultaneous equation system with Cramer's rule #1
I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y
Explain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
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
Integration practice question #3
I am in SS 3. Give me an integration problem where I must find the definite integral of x^
Integration practice question #4
I am in SS 3. Give me an integration problem where I must find the area under the curve y
Teach me the chain rule with an example
I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o