value of n. (4) (Total 6 marks) 3. (a) Consider the geometric sequence −3‚ 6‚ −12‚ 24‚ …. (i) (ii) Write down the common ratio. Find the 15th term. (3) Consider the sequence x − 3‚ x +1‚ 2x + 8‚ …. IB Questionbank Maths SL 1 (b) When x = 5‚ the sequence is geometric. (i) (ii) Write down the first three terms. Find the common ratio. (2) (c) Find the other value of x for which the sequence is geometric. (4) (d) For this value of x‚ find (i) (ii) the common ratio;
Premium Geometric progression Natural number Sequence
below shows some of the formulae entered to generate the spreadsheet above. Extrapolation in terms of a diagram and geometric progressions T8 T16 “T32”“ T64” X According to the theory derived earlier 32 16 16 8 1 ( - 4 T T≈ + T T ) This gives us the so called “extrapolated” value 32 16 16 8 1 " " ( -). 4 T T TT = + Note‚ this is exactly how “T32” was calculated on the previous page. And then 2 2 64 32 16 8 16 16 8 16 8 1 11
Premium Mathematics Trigraph Geometric progression
constructing price index number is Consumer Price Index = ∑p0q1 + ∑p1q1 ∑p0q0 ∑p0q1 X 100 2 5. FISHER’S Ideal Index Number: Prof. Irwing Fisher has suggested a compromise between Laspeyre’s and Paasche’s formula by taking geometric mean of these formula. Thus Fisher’s formula for price index is given by Consumer Price Index = ∑p0q1 + ∑p1q1 1/2 X 100
Premium Arithmetic mean Average Inflation
Core 1 Linear Graphs and Equations For any straight line‚ the gradient (M) is: dy/dx or difference in y/difference in x which is (y2-y1)/(x2-x1) Equation of a line: y=mx+c which is used when the gradient and intercept is known or y-y1=m(x-x1) when the gradient and the co-ordinates (x1‚y1) of a single point that the line passes through is known. You’ll need to learn this equation. [The equation of the line can be kept in this form unless stated in the exam. (reduces error chance) Also
Premium Angle Real number Geometric progression
ETG3031 – GD&T Winter 2013 Test #2 (Chapter 5 to 7) 1. In this drawing‚ which datum is secondary? a. A b. B c. C d. None of the above [pic] 2. Based on the drawing‚ datum B is __________ datum feature. a. A planar b. A centerplane c. An axis d. An invalid [pic] 3. On the drawing‚ datum feature A consists of ________ surface(s). a. 0 b. 1 c. 2 d. None of the above
Premium
J. AMER. SOC. HORT. SCI. 126(4):468–473. 2001. Selection Influences Heritability Estimates and Variance Components for Anthracnose Resistance in Populations Derived from an Intraspecific Cross of Tomato John R. Stommel1 U.S. Department of Agriculture‚ Agricultural Research Service‚ Vegetable Laboratory‚ Plant Sciences Institute‚ Beltsville‚ MD 20705 ADDITIONAL INDEX WORDS. Colletotrichum sp.‚ disease resistance‚ genetics‚ inheritance‚ Lycopersicon esculentum‚ vegetable breeding ABSTRACT. Genetic
Premium Arithmetic mean Gene Genetics
Jasmine Chai Grade 10 196298501 Patterns within systems of linear equations Systems of linear equations are a collection of linear equations that are related by having one solution‚ no solution or many solutions. A solution is the point of intersection between the two or more lines that are described by the linear equation. Consider the following equations: x + 2y = 3 and 2x – y = -4. These equations are an example of a 2x2 system due to the two unknown variables (x and y) it has. In one of
Premium Elementary algebra Polynomial Geometric progression
four. iii) Factorise x2 – 49 iv) Factorise 16x2 - 9 v) Factorise x2 – 7x + 12 vi) Solve x2 -7x + 12 = 0 vii) The first term of an arithmetic sequence is 8 and the common difference is 7. The nth term is 393. Find the value of n. viii) A geometric sequence has first term 2 and third term 32. Find the common Ratio. ix) Find the sum of the first 12 terms for the same sequence. x) There are 25 students in a class. 17 study French‚ 12 study Malay and 10 study both languages. Show this information
Premium Venn diagram Geometric progression Integers
Additional Mathematics Project Work 2 Written By : Nurul Hazira Syaza Abas I/C : 940602-01-6676 Angka Giliran : School : SMK Kangkar Pulai Copyright 2011 ©. Hazira Syaza‚ All Right Reserve Numb | Title | Page | 1 | Acknowledge | 1 | 2 | Objective | 2 | 3 | Introduction Part I | 3 | 4 | Mathematics In Cake Baking And Cake Decorating | 4 5 | 5 | Part II | 6 14 | 6 | Part III | 15 17 | 7 | Further Exploration | 18 21 | 8 | Reflection | 22 23 | 9 | Conclusion | 24
Premium Length Geometric progression Baking
1. A line passes through the points (–3‚ –3) and (–1‚ 3). What is the slope of the line that passes through the two points? Hint X -3 -1/3 3 1/3 2. A line passes through the points (3‚ –4) and (7‚ 12). What is the y-intercept of the line? Hint X (0‚ 4) (4‚ 0) (0‚ –16) (–16‚ 0) 3. Consider the following system of equations. y = 8x - 8 y - 8x = 7 What can you conclude about the system of equations? Hint X The system of equations is inconsistent. The system
Premium Elementary algebra Line Geometric progression