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ARITHMETIC SEQUENCES

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IISY. IISY. ARITHMETIC SEQUENCES. Grade X. Sutarman. 2010. Sequences and Series. SEQUENCES. ARITHMETIC. SERIES. GEOMETRIC. A sequence is a set of numbers listed in a certain order. A series is the sum of the terms of a sequence. Objectives & Minimum Standard. - PowerPoint PPT Presentation

Text of ARITHMETIC SEQUENCES

  • Grade XARITHMETIC SEQUENCESSutarman2010

  • Sequences and SeriesSEQUENCESSERIESARITHMETICGEOMETRICA sequence is a set of numbers listed in a certain order.A series is the sum of the terms of a sequence.

  • Objectives & Minimum StandardTo find the first term of Arithmetic Sequences.To find the common difference of Arithmetic Sequences.To find the nth term of Arithmetic Sequences.MINIMUM STANDARD = 61

  • Dodi has to find two buildings to deliver packages:1. 91st building at the left side of Arjuna Street. 2. 62nd building at the left side of Arjuna Street. Arjuna Street135791113...246810...?HELP!!!HELP!!!HELP!!!12

  • Dodi needs our help now!1. What is the 91st building number at the left side of Arjuna Street?2. What is the 62nd building number at the right side of Arjuna Street?Can we help him?What do we need?FORMULA!Wee need

  • In Mathematics, set of building numbers at both sides of Arjuna Street is called Arithmetic Sequence:(a) 1, 3, 5, 7, 9, 11, 13, (b) 2, 4, 6, 8, 10, 12, Can you make another example of Arithmetic Sequence?

  • DefinitionArithmetic Sequence (or Arithmetic Progression) is a sequence of numbers such that, after the first number, each number is formed by adding a fixed number onto the preceding one. The fixed number, denoted by d, is known as the common difference.Each number in sequence is called a term, denoted by Tn.Remember!

  • QUIZ 1Which one of these sequences is Arithmetic Sequence?3, 6, 9, 12, 3, 9, 27, 81,

  • In these Arithmetic Sequences, what is the number behind the question mark? Find the common difference (d) of each Arithmetic Sequence!

    3 , 6 , 9 , 12 , 15 , 18 , 21, d = 6 - 3 = 31 , 5 , 9 , 13 , 17 , 21 , 25 , d = 5 - 1 = 4QUIZ 2?????

  • Do you remember Dodis problem?We need a formula to help him!Look at this Arithmetic Sequence!2, 4, 6, 8, 10, 12, ?T1, T2, T3, T4, T5, T6, Tn a = T1 is called first termTn is called nth termd = Tn T(n-1) is called common difference

  • T1 = a= a + 2dT3 = T2 + d = a + dT2 = T1 + d T1,To Find the FormulaT2,+dT3,+d= (a + d ) + d +dT4, ,Tn..

  • Answer:The sequence at the left side of Arjuna Street is1, 3, 5, 7, 9, 11, 13, a = 1, d = 2 , n = 91 (91st building)Tn = a + (n -1)d T91 = 1 + (91-1)(2) = 1 + 90(2) = 1 + 180 = 181So, the 91st building number is 181. Now, Dodi can go directly to the building number 181. 1. What is the 91st building number at the left side of Arjuna Street?

    Its time to help Dodi!

  • Its time to help Dodi!Can you help Dodi to find the 62nd building number at the right side of Arjuna Street?2, 4, 6, 8, 10, 12,

  • ExerciseFind the first term, common difference and the nth term asked for each of the following Arithmetic Sequence! 3, 7, 11, 15, T10 = -15, -20, -25, -30, T26 =

  • Terima kasihThank youKye zu tin ba de

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