1. Given the sequence:25, 21, 17, 13,..Write the explicit equation that models the sequence. O a) an = 4n + 29 O b) an = 25 +(-4)(n-1) %3D c) an = -25 +(-4)(n-1) O d) a, = 4n + 25 %3D

Q: Use the graph below to determine a, and d for the sequence. {(1, 17), (2, 14), (3, 11), (4, 8),…

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Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: Write the first six terms of the sequence given by a1 = 2; an+1= n+3 n+2 an: and then give…

A: We have to find the nth term

Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

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Q: S= (7. -1, -9, -17, - 25, .

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Q: Which fünction defines the sequence -6,-10,-14,–18,.., where f(6) = -26? 1) f(x) =-4x - 2 2) (x) =…

A: Given -6, -10, -14, -18 ....

Q: A. Write the first five terms of the sequence. n +3 1. An = 3. an = 4n – 3 n 2. an = 2n -1 B. Find…

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Q: 3 3 3 3. Which of the following formulas properly describes the sequence 3, 2 4 (1) a, = 3+2" (3) an…

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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: Write an explicit formula for the sequence 14 19 8 29 9, 3'7'5'31 5 n+ 4 2"-1 9 n b. an 2" -1 5n +4…

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Q: The type of the sequence -10, -13, -16, -19, …. Is?   1.  None of the answers   2.  HP   3.…

A: Given sequence 10, -13, -16, -19, ….

Q: Consider the third order difference equation An+3 = An+2 + an+1+an where ao = aj = 0 and a2 = 1.…

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Q: Graph both the sequence of terms a (sn) 15F 1.5H

A: We will calculate the term of the series and then the partial sum. Please see the table below: an =…

Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

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.