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• 2006 AMC 10B Problems/Problem 1
  == Problem == What is <math> (-1)^{1} + (-1)^{2} + ... + (-1)^{2006} </math> ?
  606 bytes (80 words) - 09:32, 19 December 2021

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• Probability
  ...ve results. Examples include the [[Monty Hall paradox]] and the [[birthday problem]]. Probability can be loosely defined as the chance that an event will hap ..., <math>(\Omega, \mathfrak{a})</math>. <math>\mathit{P}:\mathfrak{a}\to [0,1]</math> is an assignment with certain properties (it is a special kind of [
  4 KB (590 words) - 10:52, 28 September 2024
• Divisibility rules
  Rule 1: Partition <math>N</math> into 3 digit numbers from the right (<math>d_3d_ [[Divisibility rules/Rule 1 for 7 proof | Proof]]
  10 KB (1,572 words) - 21:11, 22 September 2024
• Recursion
  ...early values of the sequence in terms of previous values: <math>F_0=1, F_1=1, F_2=2, F_3=3, F_4=5, F_5=8</math>, and so on. ...defined recursively by <math>a_0 = 1</math> and <math>a_n = 2\cdot a_{n - 1}</math> for <math>n > 0</math> also has the closed-form definition <math>a_
  2 KB (316 words) - 15:03, 1 January 2024
• Arithmetic sequence
  ...h>1, 2, 3, 4</math> is an arithmetic sequence with common difference <math>1</math> and <math>99, 91, 83, 75</math> is an arithmetic sequence with commo ...ogression if and only if <math>a_2 - a_1 = a_3 - a_2 = \cdots = a_n - a_{n-1}</math>. A similar definition holds for infinite arithmetic sequences. It a
  4 KB (736 words) - 01:00, 7 March 2024
• 2006 AMC 10B
  ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2006 AMC 10B Problems]]
  2 KB (182 words) - 20:57, 23 January 2021
• Triangle Inequality
  ...+ \ldots + a_n = \left(\sum_{j=1}^n a_j\right) - a_i</math> for <math>i = 1, 2 \ldots, n</math>. Expressing the inequality in this form leads to <math * [[2003 AMC 12A Problems/Problem 7]]
  2 KB (268 words) - 02:02, 3 January 2021
• Mock AMC
  ...A number of '''Mock AMC''' competitions have been hosted on the [[Art of Problem Solving]] message boards. They are generally made by one community member Mock AMCs are usually very popular in the months leading up to the actual [[AMC]] competition. There is no guarantee that community members will make Mock
  51 KB (6,175 words) - 20:41, 27 November 2024
• 2006 AMC 10A
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2006 AMC 10A Problems]]
  2 KB (180 words) - 17:06, 6 October 2014
• 2006 AMC 10A Problems
  {{AMC10 Problems|year=2006|ab=A}} ==Problem 1==
  13 KB (2,028 words) - 15:32, 22 March 2022
• Perimeter
  * [[Polygon]] with <math>q</math> sides: <math>\sum_{z=1}^{q} a_z</math>, where <math>a_i</math> are the lengths of the sides of the * [[2006_AMC_10B_Problems/Problem_6 | 2006 AMC 10B Problem 6]]
  896 bytes (137 words) - 17:57, 2 September 2024
• Line
  ...fined as the shortest distance between two points. It is defined to be in 1 direction only, i.e. infinitely thin but also infinitely long. In the [[Car === Example Problem ===
  674 bytes (106 words) - 17:40, 9 May 2024
• 2005 AMC 10B
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2005 AMC 10B Problems]]
  1 KB (165 words) - 11:40, 14 August 2020
• 2006 AMC 10B Problems
  {{AMC10 Problems|year=2006|ab=B}} == Problem 1 ==
  14 KB (2,059 words) - 00:17, 30 January 2024
• 2005 AMC 10B Problems
  == Problem 1 == ...th>2</math>. They sell all the candy bars at a price of two for &#36;<math>1</math>. What was the profit, in dollars?
  12 KB (1,874 words) - 20:20, 23 December 2020
• 2005 AMC 10A
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2005 AMC 10A Problems]]
  2 KB (182 words) - 17:09, 6 October 2014
• Sophie Germain Identity
  ...ath> is divided by <math>2^{101}+2^{51}+1</math>? ([[2020 AMC 10B Problems/Problem 22|Source]]) *Prove that if <math>n>1</math> then <math>n^4 + 4^n</math> is [[composite]]. (1978 Kurschak Competi
  2 KB (210 words) - 16:05, 30 January 2025
• 2007 AMC 10A
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2007 AMC 10A Problems]]
  2 KB (182 words) - 02:21, 31 December 2019
• 2007 AMC 10A Problems
  == Problem 1 == [[2007 AMC 10A Problems/Problem 1|Solution]]
  13 KB (2,058 words) - 16:54, 29 March 2024
• 2008 AMC 10A Problems
  ==Problem 1== <math>\mathrm{(A)}\ \text{1:50}\ {\small\text{PM}}\qquad\mathrm{(B)}\ \text{3:00}\ {\small\text{PM}}\qq
  14 KB (2,138 words) - 14:08, 18 February 2023
• 2007 AMC 10B
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2007 AMC 10B Problems]]
  2 KB (182 words) - 17:52, 6 October 2014

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