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An arithmetic progression contains n terms. The first term is 2 and its common difference is 2 3 . If the sum of the last four terms is 72 more than the sum of the first four terms, find n . [5marks] Qn. 2: Find the equation of a circle which touches the line 3 x +4 y =9 has a centre (4, - 7) . [5marks]
arithmetic progression exercise 5.1

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4. The first, third and eleventh terms of an arithmetic progression(A.P) are also the first, second and third terms of a geometric progression (G.P). Given that the first term of the A.P is 2, find the: (i) common ratio, r and common difference, (04 marks) (ii) sum of the first 10 terms of the A.P, (04 marks)
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[DOC File]MATHEMATICS
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Examples and Exercises To have the concept of a sequence/progression, its term and its domain, different types of sequences with examples to distinguish between arithmetic, geometric and harmonic sequences; and to determine the sequence when its nth term is known.
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[DOC File]International College of Economics and Finance
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Geometric progression. Harmonic series and power series. Alternating series. ... doing their home assignments and practical exercises. ... Arithmetic mean, median, mode, geometric mean. Measures of variation. Range, sample standard deviation, interquartile …
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[DOCX File]BACCALAURÉAT GÉNÉRAL ET TECHNOLOGIQUE
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The first part of this page is a summary that can be useful to do the exercises.SequencesA sequence is called an arithmetic progression where each term (except the first term) is obtained by adding a constant, called the common difference, to the previous term. If the first term is denoted by a and the common difference is d , then the ...
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[DOC File]Exercises:
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Exercises: 1. What output will be produced by the following code? ... A harmonic progression is defined as the product of the inverses of the first n integers, and is denoted as. ... is interesting because it turns out to be the number of ways that we can parenthesize an arithmetic expression that has k …
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[DOCX File]www.ucg.ac.me
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be any set of twenty integers 9. _____ from the arithmetic progression 1,4, . . . ,100. Prove that there must be two distinct integers in . A . ... From around 2500 onwards, the Sumerians wrote multiplication tables on clay tablets and dealt with geometrical exercises and division problems. The earlies traces of the Babylonian mathematics also ...
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[DOC File]Discrete Mathematics - MGNet
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An arithmetic progression is a sequence of the form {a+id, i=0, 1,…}. Translation: f(a,r,i) = ari and f(a,d,i) = a + id are the corresponding functions. There are a number of interesting summations that have closed form solutions. Theorem: If a,r(R, then. ... Defining quick sort is in Rosen’s exercises. Counting, Permutations, and ...
arithmetic progression exercise 5.3

[DOC File]faculty-old.psau.edu.sa
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1 Exercises based on Sets 2 Exercises based on Arithmetic Progression 3 Permutation exercises and numericals 4 Combination exercises and numericals 5 Truth Tables eaxmples 6 Boolean Algebra examples 7 Pigeonhole Principle demonstartion 8 Relations applications 9 Functions applications 10 Exercises based on Number Theory 11 Graphs exercises 12 ...
arithmetic progression exercise 5.1

[DOC File]Module 1 - DEPED-LDN
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As you go over the exercises, you will develop skills in solving the common difference and finding the nth term given the first few terms of an arithmetic sequence; finding the first term and common difference or a specified nth term given two terms of arithmetic sequence; and solve problems involving arithmetic means and harmonic sequence ...
arithmetic progression pdf

Arithmetic progression exercises