1,045 prompts matching "Solving for x when three terms are in arithmetic progression"
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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms
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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms
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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Worked example: find the determinant of [[5,2],[3,4]]
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Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI
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Worked example: find the term in x^3 in the expansion of (2x-1)^6
Act as my SS2 Further Maths tutor. Show me a full worked example for this binomial theorem
Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)
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Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q
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Give me a 5-minute recap of completing the square
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Structured question: complete the square then find the minimum
I am in SS 2. Give me a two-part structured question where I first complete the square for
Learn: Factorising a quadratic whose coefficient of x squared is one
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Learn: Making the coefficient of x squared equal to one first
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Practice: Working through a quadratic by completing the square, step by step
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Quiz: A negative value of b in the quadratic formula
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Learn: Forming the quadratic that decides where a line meets a curve
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Quiz: The condition for two points of intersection
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Spot My Mistake: Finding the values of c for which a line is a tangent
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