1,045 prompts matching "Pascal's triangle and the combination numbers in it"
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Explain permutations and combinations back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between per
Worked example: expanding (2x-3)^5 using the binomial formula
Act as my SS2 Further Maths tutor. Show me a full worked example of expanding (2x-3)^5 usi
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
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
Teach me the distance and midpoint formulas
Act as my SS2 Further Maths tutor. Teach me how to find the distance between two points an
Explain arithmetic and geometric progressions back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr
Create a revision plan for polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Help me create a short revision plan for polynomials an
Create a revision plan for logarithms and indices
Act as my SS2 Further Maths tutor. Help me create a short revision plan for logarithms and
Summarise permutations and combinations for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Summarise logarithms and indices for quick revision
Act as my SS2 Further Maths tutor. Give me a concise summary of the key formulas and metho
Test me under exam conditions on logarithms and indices
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on lo
Give me common mistakes students make in permutations and combinations
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Give me common mistakes students make in trigonometric identities and equations
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Give me common mistakes students make in logarithms and indices
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Worked example: differentiate y = (2x-1)(x+3) after expanding it first
Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation
Worked example: find the modulus and argument of 3+4i
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: solve x^2+4x+13=0 giving the roots as complex numbers
Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers
Worked example: find the magnitude of the vector (3,4)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: find the unit vector in the direction of (6,8)
Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo