Progressions Test – 1 1. A boy agrees to work at the rate of one rupee on the first day‚ two rupees on the second day‚ four rupees on the third day and so on. How much will the boy get if he starts working on the 1 st of February and finishes on the 1st of February and finishes on the 20th of February? (a) 220 (b) 220 - 1 (c) 219 - 1 (d) 219 2. If the fifth term of GP is 81 and first term is 16‚ what will be the 4 th term of GP? (a) 36 (b) 18 (c) 54 (d) 24 3. The sum of the first and the third
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# answer question 1 to 8 only. Topic: Arithmetic and geometric series. 1. Determine the number of terms and the sum of the sequence: 5‚ 11‚ 17‚ … ‚ 83. (14‚ 616) 2. The fourth term and the 8th term of an arithmetic sequence are 16 and 32 respectively. Find: a) Common difference (4) b) the sum of the first 20 terms of this
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Real world applications XXX MAT126: Survey of Mathematical Methods Instructor: XXX May 20‚ 2012 In this assignment I would like to talk about arithmetic sequences and geometric sequences and want to give an example each how to calculate with those sequences. First I want to give a short definition of each sequence. “An arithmetic sequence is a sequence of numbers in which each succeeding term differs from the preceding term by the same amount. This amount is known
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………………………………………….. (b) ………………………………………….. (Total 4 marks) 2. The population of Bangor is growing each year. At the end of 1996‚ the population was 40 000. At the end of 1998‚ the population was 44 100. Assuming that these annual figures follow a geometric progression‚ calculate (a) the population of Bangor at the end of 1997; (b) the population of Bangor at the end of 1992. Working: Answers: (a) ………………………………………….. (b) ………………………………………….. (Total 4 marks) 3. Mr Jones decides to increase the
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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
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cost for the first month when the baby was born was RM22. What a) were the expenses for the 10th month and the 15th month after the baby was born? (4m) b) were the total expenses for the first two years? (3m) 3. Three successive terms of a geometric sequence are x – 6 ‚ x and 9 + 2x. All the terms of the sequence are positive. a) Find x. (2m) b) If x is the fifth term‚ find the first term of the sequence. (2m) 4. The monthly maintenance cost of a car increases by 2% from the previous month’s
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Exercises‚ pages 48–53 A 3. Write a geometric series for each geometric sequence. a) 1‚ 4‚ 16‚ 64‚ 256‚ . . . 1 ؉ 4 ؉ 16 ؉ 64 ؉ 256 ؉ . . . b) 20‚ -10‚ 5‚ -2.5‚ 1.25‚ . . . 20 ؊ 10 ؉ 5 ؊ 2.5 ؉ 1.25 ؊ . . . 4. Which series appear to be geometric? If the series could be geometric‚ determine S5. a) 2 + 4 + 8 + 16 + 32 + . . . The series could be geometric. S5 is: 2 ؉ 4 ؉ 8 ؉ 16 ؉ 32 26 ؍ c) 1 + 4 + 9 + 16 + 25 + . . . The series is not geometric. ©P DO NOT COPY. b) 2 - 4
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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;
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In this week’s assignment I will attempt complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World. For each exercise‚ specify whether it involves an arithmetic sequence or a geometric sequence and use the proper formulas where applicable. I will try to format my math work as shown in the “week one assignment guide” provided to us and try to be concise in my reasoning. Exercise 35: A person hired to build a CB Radio tower. The firm charges
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Stellar Numbers Results 1. Triangular Numbers Observation of the number pattern of polynomial type or different pattern needed. Identifying the order of the general term by using the difference between the succeeding numbers. Students are expected to use mathematical way of deriving the general term for the sequence. Students are expected use technology GDC to generate the 7th and 8th terms also can use other graphic packages to find the general pattern to support their result The
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