Question Example Step by Step Use the geometric sequence to help find a recursive rule and an explicit rule for any geometric sequence. For the general rules, the values of n are consecutive integers starting with 1. 5, 10, 20, 40, 80,... The recursive rule for the geometric sequence is f(1) = and f(n) = f(n – 1)· for n z 2. The recursive rule for any geometric sequence, given f(1), is f(n) = f(n – 1)· for n2 2. The explicit rule for the geometric sequence is f(n)= The explicit rule for any geometric sequence is f(n)= f( n-1

Q: 3. A geometric sequence is defined by the equation a = (−2) ¹*³*. 1+3m Find the following. Be sure…

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Q: 1 6 + 7n Your answer is (input yes or no) if your answer is yes, its first term is its common…

A: We have to check whether the sequence  is arithmetic."A sequence is said to be arithmetic, the…

Q: DIRECTIONS: Write the explicit and recursive rules for each sequence? Write the first 4 terms of the…

A: Comment: We’ll answer the three questions since the exact one wasn’t specified. Given Tylers saving…

Q: Determine a, and as for each arithmetic sequence. See Examples 3 and 4. 29,. 24. -3, -7, -11,... 25.…

A: Since, the student has mentioned to solve only question number 24, so we are solving accordingly…

Q: A sequence is shown in the graph. (1,6) 2 (2, 3) (3, 1.5) (4, 0.75)

A: Given Figure :-

Q: Write a definition for the nth term of Sequence B

A: A sequence is a function from set of natural number including zero to real numbers.  Example: let…

Q: Proof A sequence {a} is defined recursively by - a₁ = 1, a₂ = 3 and an = 2an-1 − An-2 for n ≥ 3.…

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Q: 1. List the first six terms of the recursive sequence: a₁ = 3, a₂ = 1; for n ≥ 3, an=an-1-an-2.

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Q: Example 3: Find the general term of the arithmetic sequence 6, 2, -2, –6,...

A: 3). To find the general term of the arithmetic sequence 6, 2, -2, -6,…. Solution: Given sequence is…

Q: A sequence is defined recursively as below: di = 3dr-1+4, for all integers k > 2 and di = 3 Guess an…

A: First we'll find its characteristic equation and then find the roots of the characteristic equation

Q: #37 i Write a recursive rule for the sequence. 7, 6, 13, 19, 32, ... = 7 %3D a, an Previous 29 30 31…

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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.