Geometric Series Starter. Write down the algebraic expression for a geometric series a + ar + ar 2 + ar 3 + … + ar n-1.

Slides:

Advertisements

Similar presentations

September 8, 2011 "The way to be nothing is to do nothing." -- Nathaniel Howe Test prep, p. 18 #

Advertisements

Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = x 1 = x 1 = 12 X 2 1.

Division ÷ 1 1 ÷ 1 = 1 2 ÷ 1 = 2 3 ÷ 1 = 3 4 ÷ 1 = 4 5 ÷ 1 = 5 6 ÷ 1 = 6 7 ÷ 1 = 7 8 ÷ 1 = 8 9 ÷ 1 = 9 10 ÷ 1 = ÷ 1 = ÷ 1 = 12 ÷ 2 2 ÷ 2 =

Complex Numbers and Roots

Geometric Sequences and Series

AS. 02/03 Finding fractions of a quantity AS. 02/03.

Arithmetic and Geometric Means

12.5 Sigma Notation and the nth term

Multiplication Facts Review. 6 x 4 = 24 5 x 5 = 25.

Reducing Fractions. Factor A number that is multiplied by another number to find a product. Factors of 24 are (1,2, 3, 4, 6, 8, 12, 24).

7 7 = = = = = = 3.

ALGEBRAIC EXPRESSIONS

Preview Warm Up California Standards Lesson Presentation.

Around the World AdditionSubtraction MultiplicationDivision AdditionSubtraction MultiplicationDivision.

C1 Sequences and series. Write down the first 4 terms of the sequence u n+1 =u n +6, u 1 =6 6, 12, 18, 24.

GCSE Higher Revision Starters 11 Module 3 and 5 Revision.

Factorise the following 10x a – 20 36m a + 27b + 9c 9y² - 12y 30ab³ + 35a²b 24x4y³ - 40x²y.

© Richard A. Medeiros 2004 x y Function Machine Function Machine next.

EXAMPLE 1 Finding the Least Common Multiple

Bellwork Do the following problem on a ½ sheet of paper and turn in.

Similar Figures.

I can use the zero product property to solve quadratics by factoring

Algebraic Expressions

Equivalent Expressions L.O. To simplify algebraic expressions (Level 5) abc a + ba + b + 1b + c +2 For each block find the sum of the two blocks underneath.

Geometric Sequences Teacher Notes

Properties of Exponents

Section 11.4 – Representing Functions with Power Series.

In this video, you will learn how to find the surface area of rectangular prisms, by analyzing the prism’s six faces and computing their areas.

2 x /18/2014 Know Your Facts!. 11 x /18/2014 Know Your Facts!

Unit Rate $45 for 5 hours. Unit Rate $45 for 5 hours $45 5 H.

Practice Skip Counting 8.

Determine whether the sequence 6, 18, 54, is geometric. If it is geometric, find the common ratio. Choose the answer from the following :

Notes Over 11.3 Geometric Sequences

12.2: Analyze Arithmetic Sequences and Series HW: p (4, 10, 12, 14, 24, 26, 30, 34)

Notes Over 11.4 Infinite Geometric Sequences

Yesterday, we generated the formula for the sum of an arithmetic sequence. Today, we will use the same approach to determine the formula for the sum of.

The Ratio Test: Let Section 10.5 – The Ratio and Root Tests be a positive series and.

Example Solution For each geometric sequence, find the common ratio. a)  2,  12,  72,  432,... b) 50, 10, 2, 0.4, 0.08,... SequenceCommon Ratio.

Geometric Series. In a geometric sequence, the ratio between consecutive terms is constant. The ratio is called the common ratio. Ex. 5, 15, 45, 135,...

Daily Check 1)Find the first 3 terms of the following sequence: 2)Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10.

Geometric 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.

Thursday, March 8 How can we use geometric sequences and series?

9.3 Geometric Sequences and Series. 9.3 Geometric Sequences A sequence is geometric if the ratios of consecutive terms are the same. This common ratio.

Geometric Sequence Sequences and Series. Geometric Sequence A sequence is geometric if the ratios of consecutive terms are the same. 2, 8, 32, 128, 512,...

Geometric Sequence – a sequence of terms in which a common ratio (r) between any two successive terms is the same. (aka: Geometric Progression) Section.

13.3 Arithmetic and Geometric Series and Their Sums Finite Series.

9.3 Geometric Sequences and Series. Common Ratio In the sequence 2, 10, 50, 250, 1250, ….. Find the common ratio.

Review on Sequences and Series-Recursion/Sigma Algebra II.

Holt McDougal Algebra 2 Geometric Sequences and Series Holt Algebra 2Holt McDougal Algebra 2 How do we find the terms of an geometric sequence, including.

7.2 GEOMETRIC Sequences.

Notes Over 1.2.

Homework Check.

The sum of the infinite and finite geometric sequence

The symbol for summation is the Greek letter Sigma, S.

Ch. 8 – Sequences, Series, and Probability

Geometric Series When the terms of a geometric sequence are added, the result is a geometric series The sequence 3, 6, 12, 24, 48…gives rise to the series.

Geometric Sequences Chapter 7.

Geometric Series.

Geometric Series.

Section 11.3 Finite Geometric Series

Find the sums of these geometric series:

Homework Check.

Homework Check.

9.3 (continue) Infinite Geometric Series

5.5 Geometric Series (1/7) In an geometric series each term increases by a constant multiplier (r) This means the difference between consecutive terms.

Geometric Sequences and series

All pupils can manipulate geometric sequences

Geometric Sequences and Series

Presentation transcript:

Geometric Series Starter

Write down the algebraic expression for a geometric series a + ar + ar 2 + ar 3 + … + ar n-1

The 3 rd term of a geometric series is 75. The first term is 3, find r. r = 5

The 4th term of a geometric series is 40. The first term is 5, find r. r = 2

The 3rd term of a geometric series is 6. The first term is 24, find r. r = ½

The 5th term of a geometric series is 8. The first term is, find r. r = 4

The 3rd term of a geometric series is 48. If r=4, find the first term. a = 3

The 6th term of a geometric series is -96. If r=2, find the first term. a = -3

The 5th term of a geometric series is 48 and the 3 rd term is 12. Find the common ratio and the first term. r = 2 and a = 3

The 6th term of a geometric series is 486 and the 3 rd term is 18. Find the common ratio and the first term. r = 3 and a = 2