1,045 prompts matching "Practice: The sum to infinity of a convergent geometric series"
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Spot my mistake in a combination problem
Act as my SS2 Further Maths tutor. I calculated a combination but I think I forgot to divi
Teach me probability using permutations and combinations
Act as my SS2 Further Maths tutor. Teach me how to solve probability problems using permut
Worked example: expanding (x+y)^4 using Pascal's triangle
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (x+y)^4 usin
Teach me approximating powers using binomial expansion
Act as my SS2 Further Maths tutor. Teach me how to use the binomial expansion to evaluate
Worked example: evaluating a power using binomial expansion
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Spot my mistake finding a specific term
Act as my SS2 Further Maths tutor. I tried to find the term containing x^3 in a binomial e
Worked example: simplifying an expression with fractional indices
Act as my SS2 Further Maths tutor. Show me a full worked example of simplifying an express
Worked example: finding where a line meets a circle
Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
Spot my mistake finding a line's equation
Act as my SS2 Further Maths tutor. I found the equation of a straight line through two poi
Worked example: proving a trigonometric identity
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Worked example: solving a quadratic trigonometric equation
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WAEC question on sequences and series
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question on ar
Teach me finding stationary points
Act as my SS2 Further Maths tutor. Teach me how to find the stationary points of a polynom
Worked example: finding and classifying a stationary point
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Quiz me on basic differentiation
Act as my SS2 Further Maths tutor. Quiz me with five polynomial functions and ask me to di
Spot my mistake differentiating a polynomial
Act as my SS2 Further Maths tutor. I differentiated a polynomial function but I think I ma
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Worked example: solving a quadratic with complex roots
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a quadratic eq
Teach me adding and subtracting complex numbers
Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com