Arithmetic Sequences The diagrams below represent the first three terms of a sequence. mmon difference Term 1 Term 2 Term 3 Assuming the pattern continues, which formula determines a, the number of shaded squares in the ク多 th term? O 1) a, = 4n + 12 %3D O 2) an = 4n+8 3) a = 4n +4 %3D

Q: = 13, an = {3an-1 A. D A aj = 3, ap = 133 . a3 = 3,3,3 = ਤਿਤਿਓ D B. 1 = 3. a2 = 33 . a3 = 93, a = 27…

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Q: Suppose the first 4 terms of a geometric sequence are 4, x, y, 28, .. Determine what x and y must…

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Q: a2 =1 a4=5 Find the sum of the first 8 terms of this arithmetic sequence

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Q: Write an expression for the apparent nth term an of the sequence. (Assume that n begins with 1.)…

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Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

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Q: Find the sum of the arithmetic sequence, Sn- 5, 10, 15, 20,..., 125

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Q: ppose you want to type sequences of vowels (that is, the letters a, e, i, o d u). However, the e key…

A: Given  the number of sequences of length   (i) Find (ii) Write a second-order difference equation…

Q: Write the first five terms of the geometric sequence. an = - 5an - 1, a1 = - 6 a1 II

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Q: 1. Find the 15th term: Hint: Is the sequence arithmetic or geometric? -4,3,10,17, ..

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.