932 prompts matching "Structured question: sum of a series expressed using sigma notation"
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Quiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Teach me what a logical argument is
Act as my SS2 Further Maths tutor. Teach me what a logical argument is in propositional lo
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Give me practice testing argument validity
Act as my SS2 Further Maths tutor. Give me five logical arguments and ask me to test each
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
Worked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Quiz me on predicate logic statements
Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan
Teach me arranging objects round a circle
You are my SS2 Further Mathematics tutor. Teach me arranging objects round a circle, in cl
Quiz me on arranging objects round a circle when two must sit together
Act as my SS2 Further Mathematics tutor and quiz me on arranging objects round a circle wh
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
Explain combinatorial probability back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to set up a probabilit
Teach me Writing out Pascal's triangle row by row
You are my SS2 Further Mathematics tutor. Teach me writing out Pascal's triangle row by ro
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
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Teach me rationalising the denominator
Act as my SS2 Further Maths tutor. Teach me how to rationalise a denominator containing a
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the
Worked example: solving an equation with logarithms to the same base
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin
Spot my mistake checking a logarithmic solution against the domain
Act as my SS2 Further Mathematics tutor. Work a question on checking a logarithmic solutio