# ARITHMETIC SEQUENCES

• View
68

2

Tags:

• #### t2 d

Embed Size (px)

DESCRIPTION

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

• 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

** ##### 9.2 â€“ Arithmetic Sequences and Series. An introduction Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic
Documents ##### Sequences and Series: Arithmetic Series ... C1 Sequences and series – Arithmetic series C1 Sequences and series: Arithmetic series – Questions 7 9. An athlete prepares for a race
Documents ##### 10.2 – Arithmetic Sequences and Series. An introduction describe the pattern Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY
Documents ##### Sec 2.1.5 How Arithmetic Sequences Work? Generalizing Arithmetic Sequences
Documents ##### 4.6 Arithmetic Sequences - 4.6 Arithmetic Sequences 209 4.6 Arithmetic Sequences COMMON ... Equation for an Arithmetic Sequence ... 13, 18, 23, 28, . . . 6. 175, 150, 125, 100,
Documents ##### Arithmetic and Geometric Sequences 3.1 Set, Go! Name: Arithmetic and Geometric Sequences 3.2 Ready,
Documents ##### 12.1 â€“ Arithmetic Sequences and Series. An introduction Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic
Documents ##### Arithmetic Sequences - Washingtonville Central School   1 Arithmetic Sequences I know how to differentiate
Documents ##### SECTION 9.2: ARITHMETIC SEQUENCES and 9.2: ARITHMETIC SEQUENCES and PARTIAL SUMS ... (Chapter 9: Discrete Math) 9.13 PART B: ... arithmetic sequences often arise from linear models
Documents ##### 8.2: Arithmetic Sequences and Partial Sums ... 8.2: Arithmetic Sequences and Partial Sums Objectives SWBAT •Recognize, write, and ﬁnd the nth terms of arithmetic sequences. •Find
Documents ##### Arithmetic Sequences - Weebly · PDF file 2018-08-10 · Arithmetic Sequences Focus: To understand and apply the concept of arithmetic sequences Warmup - The starting salary of an
Documents Documents