1,045 prompts matching "Practice: Finding n when the sum of an arithmetic progression is given"
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Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
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 the laws of indices at Further Maths level
Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu
Teach me the laws of logarithms
Act as my SS2 Further Maths tutor. Teach me the laws of logarithms, including the product,
Teach me the equation of a straight line
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a straight line gi
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
Teach me the equation of a circle
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its
Explain arithmetic and geometric progressions back to me
Act as my SS2 Further Maths tutor. I'll explain the difference between an arithmetic progr
Teach me the basics of differentiation
Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom
Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Give me practice on measures of dispersion
Act as my SS2 Further Maths tutor. Give me five practice questions on calculating variance
Create a revision plan for measures of dispersion
Act as my SS2 Further Maths tutor. Help me create a short revision plan for measures of di
Test me under exam conditions on polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Set me a timed, exam-style set of three questions on po
Give me common mistakes students make in polynomials and the remainder/factor theorems
Act as my SS2 Further Maths tutor. Tell me about the common mistakes SS2 students make whe
Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=
Worked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
Act as my SS2 Further Maths tutor. Show me a full worked example for this matrices problem
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)
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