Questionbank Topic 1. Sequences and Series‚ Exponentials and The Binomial Theorem 1. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. 2. Find the coefficient of x5 in the expansion of (3x – 2)8. 3. An arithmetic series has five terms. The first term is 2 and the last term is 32. Find the sum of the series. 4. Find the coefficient of a3b4 in the expansion of (5a + b)7. 5. Solve the equation 43x–1 = 1.5625 × 10–2. 6. In an arithmetic sequence‚ the first term is 5 and the
Premium Geometric progression Series Sequence
This work MAT 126 Week 1 Assignment - Geometric and Arithmetic Sequence shows "Survey of Mathematical Methods" and contains solutions on the following problems: First Problem: question 35 page 230 Second Problem: question 37 page 230 Mathematics - General Mathematics Week One Written Assignment Following completion of your readings‚ complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World . For each exercise‚
Premium Geometric progression Sequence Mathematics
Rahul Chacko IB Mathematics HL Revision – Step One Chapter 1.1 – Arithmetic sequences and series; sum of finite arithmetic series; geometric sequences and series; sum of finite and infinite geometric series. Sigma notation. Arithmetic Sequences Definition: An arithmetic sequence is a sequence in which each term differs from the previous one by the same fixed number: {un} is arithmetic if and only if u n 1 u n d . Information Booklet u n u1 n 1d Proof/Derivation: u n 1
Premium Polynomial Real number
1 “Arithmetic vs. Geometric Means: Empirical Evidence and Theoretical Issues” by Jay B. Abrams‚ ASA‚ CPA‚ MBA Copyright 1996 There has been a flurry of articles about the relative merits of using the arithmetic mean (AM) versus the geometric mean (GM). The Ibbotson SBBI Yearbook took the first position that the arithmetic mean is the correct mean to use in valuation. Allyn Joyce’s June 1995 BVR article initiated arguments for the GM as the correct mean. The previous articles have centered
Premium Arithmetic mean Standard deviation
CHAPTER 7 ARITHMETIC AND GEOMETRIC PROGRESSIONS 7.1 Arithmetic Progression (A.P) 7.1.1 Definition The nth term of an arithmetic progression is given by ‚ where a is the first term and d the common difference. The nth term is also known as the general term‚ as it is a function of n. 7.1.2 The General Term (common difference) Example 7-1 In the following arithmetic progressions a. 2‚ 5‚ 8‚ 11‚ ... b. 10‚ 8‚ 6‚ 4‚ ... Write (i) the first term‚ (ii) the common difference‚
Premium Geometric progression
of the geometric sequence 8‚ –16‚ 32 … if there are 15 terms? (1 point) = 8 [(-2)^15 -1] / [(-2)-1] = 87384 2. What is the sum of the geometric sequence 4‚ 12‚ 36 … if there are 9 terms? (1 point) = 4(3^9 - 1)/(3 - 1) = 39364 3. What is the sum of a 6-term geometric sequence if the first term is 11‚ the last term is –11‚264 and the common ratio is –4? (1 point) = -11 (1-(-4^n))/(1-(-4)) = 11(1-(-11264/11))/(1-(-4)) = 2255 4. What is the sum of an 8-term geometric sequence
Premium Geometric progression Series Sequence
Geometric Design of Highways -refer to the visible dimensions of streets and highways. -Its main purpose is to provide safe‚ efficient‚ and economical movement of traffic. Major areas of the design: Locational design Alignment design (includes design controls and criteria) Cross-section design Locational Design One of the most crucial and important parts of the design process of highways. The location procedure is an iterative process in which engineers‚ planners‚ economist‚ ecologist
Premium Road transport Vehicle Speed limit
Arithmetic Progressions (AP) An arithmetic progression is a list of numbers where the difference between successive numbers is constant. The terms in an arithmetic progression are usually denoted as T1 ‚ T2 ‚ and T3 ‚ where T1 is the initial term in the progression‚ T2 is the second term‚ and so on. Thus‚ Tn is the nth term of the arithmetic progression. An example of an arithmetic progression is…. 2; 4; 6; 8; 10; 12; 14; Since the difference between successive terms is constant‚ we have…
Free Geometric progression Addition Summation
Geometric Krater The Geometric Krater is a magnificent piece of Greek Art. In the eight century‚ vase painting became very popular. The vases show a great show a great variety of style and development over the centuries‚ beginning with the geometric and very linear style. They then continued through the oriental style which borrowed images from the eastern world‚ and into the classical era with mythology portrayed with as much classical accuracy as the ancient Greek potters and painters could
Premium Ancient Greece
Geometric mean From Wikipedia‚ the free encyclopedia Jump to: navigation‚ search The geometric mean‚ in mathematics‚ is a type of mean or average‚ which indicates the central tendency or typical value of a set of numbers. It is similar to the arithmetic mean‚ which is what most people think of with the word "average‚" except that instead of adding the set of numbers and then dividing the sum by the count of numbers in the set‚ n‚ the numbers are multiplied and then the nth root of the resulting
Premium Arithmetic mean