1/2 , 1/3 , 2/3 , 1/4 , 3/4 , 1/5 , 2/5 , 3/5 , 4/5 , 1/6 , ____, (a) Classify the sequence as arithmetic, geometric, Fibonacci, or none of these. (b) If arithmetic, give d; if geometric, give r; if Fibonacci, give the first two terms. (If Fibonacci, enter your answers as a comma-separated list. If none of these, enter NONE.)     (c) Supply the next term.

Q: What are the next two numbers of this sequence 9, 16, 23, ___, ____ and what is an expression for…

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Q: 5) The first, fifth, and thirteenth terms of an arithmetic sequence, where d + 0, are the first 3…

A: We have to find the common difference and common ratio

Q: In the Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, …}, what is the value of F5

A: Given that the Fibanacci sequence 0,1,1,2,3,5,8 we know that The reccurence relation of the…

Q: 2a. Find a formula for the nth term of the arithmetic sequence below. 1,_,4, , 7, ...

A: Solve by formula

Q: The Sum of Terms of a Sequence Suppose that a virus enters a community and the number of new…

A: We need to describe mathematical difference.

Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: 1 and the recursive Which sequence could be described by the first term: aj 2 definition: An+1 =…

A:

Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

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Q: 1. A sequence is defined recursively below. Find the fifth term. an-1 an An-2 = 2 a, = 2

A: We can make it easier for you.

Q: what is the recursive or explicit formula of the given sequences:  1. -18, -13, -9, -6 2.…

A: 1. Step 1: Observe the pattern. The pattern for {-18,-13,-9,-6} is +5,+4,+3.  Step 2: Find Explicit…

Q: Find a 8 of a geometric sequence if the first few terms of the sequence are given by - 1 , 3 , - 9 ,…

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Q: 7. a. Find the general term for the geometric sequence -1, -2, -4, -8, . ... b. Find the 12th term…

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Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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Q: 2. Write the first five terms of each sequence. Determine whether each sequence is arith geometric,…

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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.