10.2 – Arithmetic Sequences and Series. Arithmetic Series. Geometric Series. Sum of Terms. Sum of Terms. An introduction … describe the pattern. Arithmetic Sequences. Geometric Sequences. ADD To get next term. MULTIPLY To get next term. Find the next four terms of –9, -2, 5, ….

ByOnline Balancing of Range-Partitioned Data with Applications to P2P Systems. Prasanna Ganesan Mayank Bawa Hector Garcia-Molina Stanford University. Motivation. Parallel databases use range partitioning Advantages: Inter-query parallelism

ByThinking Mathematically. Arithmetic and Geometric Sequences. 8. 2. 5. 3. 1. 1. a 3 =. a 4 =. a 6 =. a 5 =. a 1. a 2. a 3 + a 4. a 1 + a 2. a 4 + a 5. a 2 + a 3. “Sequences”.

By11.3 – Geometric Sequences. What is a Geometric Sequence?. In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio . Unlike in an arithmetic sequence, the difference between consecutive terms varies.

ByArithmetic Sequences and Geometric Sequences. Arithmetic Sequences. An arithmetic sequence is a set of numbers put into a specific order by a pattern of addition or subtraction. a n = a 1 + ( n – 1) d– This is the formula.

ByGiant African Land Snail. Bundling Math and Science. NGSS LS2: Ecosystems. Use mathematical and/or computational representations to support explanations of factors that affect carrying capacity of ecosystems at different scales.

ByGeometric sequences. I’m teaching a quick (15 min) lesson. Then, we’re taking the quiz! (it’s only 10 questions). Please Pick Up A ½ Sheet Of Paper. Arithmetic Sequences. Geometric Sequences. ADD To get next term Have a common difference. MULTIPLY to get next term

ByGEOMETRIC SEQUENCES. Consider this sequence. Notice that to go from one term to the next multiplication is required. 10, 20, 40, 80, …….. . ÷2. ÷2. This is called a common ratio . (Term 2 is divided by term 1. Term 3 is divided by term 2 and so on.)

By6.21 Patterns. Directions for geometric sequences. 1. Starting at the beginning object, count until you come to the requested position (term) Ex- What is the 11 th shape? . Ex 2. If I order a bunch of balloons as red, blue, green, yellow, and orange, what color is the 17 th balloon?

ByGEOMETRIC SEQUENCES. These are sequences where the ratio of successive terms of a sequence is always the same number. This number is called the common ratio . Geometric sequence .

ByEX 5I. CONTRASTING ARITHMETIC AND GEOMETRIC SEQUENCES THROUGH GRAPHS. IDENTIFYING SEQUENCES THROUGH GRAPHS. EXAMPLE. EXAMPLE. CLASSWORK/HOMEWORK. Ex 5I pg 249 Q’s 2, 3, 4, 5ab, 6, 7, 9, 10.

ByArithmetic and Geometric Sequence Formula Review. February 21, 2013. Coordinate Algebra. Today’s Essential Question : How do I identify arithmetic and geometric sequences? How do I write recursive and explicit formulas for arithmetic and geometric sequences? Standard: MCC9-12.F.BF.2.

BySequences, Series, and the Golden Ratio. by Bobby Stecher mark.stecher@maconstate.edu. Arithmetic Sequences. 1, 2, 3, 4, … 5, 8, 11, 14, 17, … 2, -2, -4, -6, -8, …. Geometric Sequences. 1, 2, 4, 8, 16, … 2, 6, 18, 54, 162, … 20, 10, 5, 2.5, 1.25, .625, …. Miscellaneous Sequences.

BySequences, Series, and the Golden Ratio. by Bobby Stecher mark.stecher@maconstate.edu. Arithmetic Sequences. 1, 2, 3, 4, … 5, 8, 11, 14, 17, … 2, -2, -4, -6, -8, …. Geometric Sequences. 1, 2, 4, 8, 16, … 2, 6, 18, 54, 162, … 20, 10, 5, 2.5, 1.25, .625, …. Miscellaneous Sequences.

By12.2 Geometric Sequences and Series. The ration of successive terms in a geometric sequence is a constant called the common ratio , denoted r. Geometric Sequence – a sequence in which each term after the first, a 1 , is the product of the preceding term and the common ratio, r.

ByGeometric sequences. A sequence in which you get from one term to the next by multiplying by a constant is called a geometric sequence. This is also known as a geometric progression (GP) and the constant multiplier is called the common ratio.

ByWarm-Up: February 28, 2013 Find the next 3 terms:. 2, 4, 8, 16, … -54, -18, -6, … 3, -6, 12, -24, …. Homework Questions?. Geometric Sequences. Section 11.4. Essential Questions. How can we use geometric sequences to find any term? How can we calculate geometric means?. Definition.

ByLesson 3.12 Concept : Geometric Sequences EQ : How do we recognize and represent geometric sequences? F.BF.1-2 & F.LE.2 Vocabulary: Geometric Sequence, Common ratio, Explicit formula, Recursive formula. Activator: First Word

ByMath II Unit 2 (Part 2). Exponents. EQ: How do you use properties of exponents to simplify algebraic expressions?. Apply What You Have Learned…. Mr. Higgins told his wife, the mathematics professor that he would make her breakfast. She handed him this message:

By14.1 Arithmetic Sequences. OBJ: • Find terms of arithmetic sequences. Arithmetic progressions or sequences (A.P.) have a common difference d between each term. To find d , take any term minus the term before it. Answer 3+2 5 – 3 = 2 5 A.P. Reason d = 2 5

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