the nth term T(n) = a+(n-1)d = 16-3(n-1) = 19 - 3n b) a = 2 There exists a mon ratio r = (-6)/2 = 18/(-6) = (-54)/18 = -3 The series is a GP. Hence the nth term T(n) = a r^(n-1) = 2*(-3)^(n-1) c) There is no mon difference ...
An arithmetic sequence is a succession of numbers in which, for each pair of consecutive terms, the second number is produced by adding the first one by a fixed number.The formula to find the nth term of an arithmetic progression is given by,an...
Anarithmetic progression (AP)is a sequence of numbers where the differences between every twoconsecutiveterms are the same. In this progression, each term, except the first term, is obtained by adding a fixed number to its previous term. This fixed number is known as the common difference and...
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days in a week or months in a year. this pattern of series and sequences has been generalized in maths as progressions. table of contents definition notation first term common difference general form nth term types of ap sum of nth term formula list questions and solutions problems to solve ...
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The number of terms in the series is n. 4. Using the Formula for the Sum of a Geometric Series: The sum of a geometric series can be calculated using the formula: S=a(1−rn)1−r where a is the first term and r is the common ratio. Here, a=1 and r=e2πip/n: S=1−...
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