Nth term - Study guides, Revision notes & Summaries

GCSE Mathematics Edexcel Predicted Paper 2023 Higher Paper 2 with correct marking scheme Name ……………………………………………… Date ……………………………………………… 1 hour 30 minutes allowed Calculator Paper Maximum Mark: 80 Grade boundaries These are VERY rough guesses! Getting a 7 on this paper does not guarantee you the same mark in the exam. • 9 70 • 8 60 • 7 50 • 6 40 • 5 30 • 4 20 ...

additive inverse to a - ANSWER--a multiplicative inverse to a (when a does not =0) - ANSWER-1/a raising expression to a negative exponent - ANSWER-1/b^n multiplying expressions with powers - ANSWER-x^n + x^m = X^m+n raising expressions to powers - ANSWER-(x^m)^n = x^mn diving expressions with powers - ANSWER-x^m/ x^n = x^m-n fractional exponents - ANSWER-x^1/2 = sq rt. X x^m/n = n rt. of x^m multiplying radicals - ANSWER-(sq a)(sq b) = sq ab factoring diff. of two squar...

area of sector (where θ is in radians) ½r²θ angles in 3D vectors cosθₓ =x/|a| cosθᵧ =y/|a| cosθ₂ =z/|a| this is where vector a makes an angle θ with the x/y/z axis (because x/y/z would be the adjacent and a the hypotenuse) Expanding (a + bx)ⁿ (a + bx)ⁿ = aⁿ(1 + (b/a)x)ⁿ cosine rule a² = b² +c² -2bc cosA rule for parametric integration ∫y dx = ∫(y dx/dt)dt as (dx/dt) x dt would cancel out to give you ∫y dx un...

Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. a² = b² + c² - 2bcCosA Cosine Rule - Know 3 sides. You want an angle. Cos A = (b² + c² - a²) ÷ 2bc Sine Rule - Know 2 angles and a side. You want the missing side. (a ÷ SinA) = (b ÷ SinB) = (c ÷ SinC) Sine Rule - Know 2 sides and an angle. You want a missing angle. (Sin A ÷ a) = (Sin B ÷ b) = (Sin C ÷ c) Midpoint of a line segment on a circle. ( (x₁ + x₂) ÷ 2 ) , ( ...

Numbers Basic building blocks of mathematics Integers Set of positive and negative numbers, including zero (no fractions, decimals) Brainpower Prime number A whole number greater than 1 that only has two factors: 1 and itself Composite number A whole number greater than 1 that has more than two different factors; any whole number that is NOT a prime number Even number Any integer that can be divided by 2 without leaving a remainder Odd number Any integer that cannot be evenly divided...

Finding the LCM of two numbers when you have the prime factors - correct answer - List all the prime factors out - If a factor appears more than once, list it that many times, e.g. 2, 2, 2, 3, 4 and 2, 2, 3, 4 would be 2, 2, 2, 3, 4 - Multiply these together Finding the HCF of two numbers when you have the prime factors - correct answer - List all the prime factors that appear in both numbers - Mu...

GCSE MATHEMATICS H Higher Tier Paper 3 Calculator Time allowed: 1 hour 30 minutes Materials For this paper you must have: • a calculator • mathematical instruments • the Formulae Sheet (enclosed). Instructions For Examiner’s Use Pages Mark 2–3 4–5 6–7 8–9 10–11 12–13 14–15 16–17 18–19 20–21 22–23 24–25 26–27 TOTAL • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the box...

Chapter 9 - College Algebra Questions Answered 100% correct 2023 Nth term (arithmetic) An= A + (n-1)d Nth term (geometric) An= AR^(n-1) Explicit formula (arithmetic) An= A + (n-1) d Recursive formula (arithmetic) An= An-1 + d K (sigma) N/2 (n+1) K^2 (sigma) [n(n+1)(2n+1)]/6 1 (sigma) N K^3 [(n(n+1))/2] Sum (arithmetic) Sn= n/2 (A+An) Sum (geometric) Sn= A [(1-r^n)/(1-r)] Recursive (geometric) An=RAn-1 Sum (i...

Primerica Practice test part 1 1. An insured under a life insurance policy has been diagnosed with a terminal illness and has 6 months to live. The insured knows that his financial state will worsen even more with the upcoming medical expenses. What option could the insured utilize?

AQA GCSE MATHEMATICS 8300/3H Higher Tier Paper 3 Calculator Question Paper + Mark scheme [MERGED] June 2022 *junH01* IB/M/Jun22/E9 8300/3H For Examiner’s Use Pages Mark 2–3 4–5 6–7 8–9 10–11 12–13 14–15 16–17 18–19 20–21 22–23 24–25 26–27 TOTAL Time allowed: 1 hour 30 minutes Materials For this paper you must have: • a calculator • mathematical instruments • the Formulae Sheet (enclosed). Instructions • Use black in...