1,045 prompts matching "Practice: Finding n when the sum of an arithmetic progression is given"
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Worked example: dividing a cubic by a linear polynomial
Act as my SS2 Further Maths tutor. Show me a complete worked example of dividing a cubic p
Quiz me on polynomial division by a quadratic divisor
Act as my SS2 Further Maths tutor. Quiz me with four polynomial division by a quadratic di
Explain polynomial long division back to me
Act as my SS2 Further Maths tutor. I'll explain the steps of polynomial long division back
Divide a polynomial by a quadratic
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Worked example: solving x^3-6x^2+11x-6=0
Act as my SS2 Further Maths tutor. Show me a complete worked example of solving the cubic
Spot my mistake solving a cubic equation
Act as my SS2 Further Maths tutor. I found one root of my cubic equation correctly but I t
Teach me what a proposition is
Act as my SS2 Further Maths tutor. Teach me the difference between a simple proposition an
Quiz me on why negation reverses every truth value
Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val
Worked example: truth table for a compound statement
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Spot my mistake in a truth table
Act as my SS2 Further Maths tutor. I constructed a truth table for a compound statement bu
Spot my mistake forming a converse
Act as my SS2 Further Maths tutor. I tried to form the converse of a conditional statement
Worked example: proving two statements are logically equivalent
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Quiz me on biconditional statements
Act as my SS2 Further Maths tutor. Quiz me with four pairs of propositions and ask me each
Spot my mistake testing logical equivalence
Act as my SS2 Further Maths tutor. I compared the truth tables of two propositions to test
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Teach me what a logical argument is
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Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Teach me combinations
Act as my SS2 Further Maths tutor. Teach me what a combination is and how it differs from
Worked example: cyclic permutation around a table
Act as my SS2 Further Maths tutor. Show me a complete worked example of finding the number