1,045 prompts matching "Practice: Finding n when the sum of an arithmetic progression is given"
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Why simultaneous linear-quadratic systems can have two solutions
Act as my SS2 Further Maths tutor. Explain to me why solving a linear equation together wi
Teach me conditions for a line and a curve to intersect
Act as my SS2 Further Maths tutor. Teach me how to determine whether a given straight line
Worked example: is this line tangent to this curve
Act as my SS2 Further Maths tutor. Show me a full worked example of substituting a line's
Give me practice on polynomial long division
Act as my SS2 Further Maths tutor. Give me six practice questions on dividing polynomials
Worked example: using the factor theorem to factorise a cubic
Act as my SS2 Further Maths tutor. Show me a full worked example of using the factor theor
Quiz me on the factorising a cubic with the factor theorem
Act as my SS2 Further Mathematics tutor and quiz me on factorising a cubic with the factor
Spot my mistake using the remainder theorem
Act as my SS2 Further Maths tutor. I used the remainder theorem to find a remainder but I
Give me practice solving cubic equations
Act as my SS2 Further Maths tutor. Give me six practice cubic equations to solve completel
Teach me the truth table for negation
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for negation
Teach me the truth table for conjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for conjuncti
Teach me the truth table for disjunction
Act as my SS2 Further Maths tutor. Teach me how to construct the truth table for disjuncti
Quiz me on the testing two statements for logical equivalence
Act as my SS2 Further Mathematics tutor and quiz me on testing two statements for logical
Teach me converse and inverse propositions
Act as my SS2 Further Maths tutor. Teach me how to form the converse and the inverse of a
Quiz me on converse and inverse
Act as my SS2 Further Maths tutor. Quiz me by giving me four conditional statements and as
Explain converse and inverse back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between the converse and th
Give me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Worked example: testing an argument for validity
Act as my SS2 Further Maths tutor. Show me a full worked example of testing a simple logic
Spot my mistake testing an argument
Act as my SS2 Further Maths tutor. I tested a logical argument for validity using a truth
Give me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
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