1,045 prompts matching "Learn: The formula for the sum of the first n terms of a geometric progression"
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Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Quiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Give me practice identifying tautologies
Act as my SS2 Further Maths tutor. Give me six compound propositions and ask me to constru
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
WAEC question on logical arguments
Act as my SS2 Further Maths tutor. Give me a WAEC Further Mathematics style question that
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
Worked example: choosing a committee
Act as my SS2 Further Maths tutor. Show me a full worked example of using combinations to
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 combinations where one member must be included
Act as my SS2 Further Maths tutor. Quiz me with five combination problems, mixing straight
Give me practice on permutations and combinations
Act as my SS2 Further Maths tutor. Give me ten mixed practice questions on permutations an
Give me practice on probability using combinatorics
Act as my SS2 Further Maths tutor. Give me six practice probability problems that must be
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
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
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
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the