1. Consider the sequence a = = {3,15, 75, 375, 1875, ...} a. What is the common ratio? b. What are the next five terms in the sequence? 1. Consider the sequence 6= {6, §, 25, 125 625 ' ** 6 6 6 a. What is the common ratio? b. What are the next five terms in the sequence?

Q: 1. Write the first five terms of the sequence defined by i) a, = (-1)"+1 Li. ii) b, = . 2. Find a…

A: Given: Question 1(i)  an=(−1)n+11+nn!(ii)  bn=2nn!find five termsQuestion 2(i)…

Q: Given two terms in an arithmetic sequence find the first five terms. 2) a = 24 and a, = 64 %3D 10 30…

A: The nth term of an arithmetic sequence is given by      an = a+(n-1)d  Where a is the first term and…

Q: 4. Consider the picture of the sequence formed by the repeating pattern below: 1 2 3 6 7 8 a) If the…

A: Given a sequence of numbers with repeating pattern of shapes i.e., 1 is assigned to square, 2 is…

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: 2. Given the following sequence: 4, 10, 22, 46, .... Write a recursive formula for the sequence.

A: Given some set of sequence i.e, 4,10,22,46 Lets find the recursive formula for this sequence

Q: What is the common difference of the arithmetic sequence 5,8, 11, 14? 1) 2) -3 3) 3 4) 9

A: Given arithmetic sequence is 5,8,11,14 find the common difference of arithmetic sequence  d=an-an-1…

Q: 4.) Consider the arithmetic sequence 23,34, 45, 56 .. a.) Find the 25th term of the sequence. b.) Is…

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Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: a4 аз ai a2

A: a) From the given sequence, a1=2a2=5a3=8a4=11 From this, these terms are in A.P. with common…

Q: 7) Given the sequence 1, 2, 4, 8, 16, 32..., find the 10 term and the sum of the first terms.

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Q: 1. Answer the following questions with a solution. a) Write down the stated term for the nth term of…

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Q: a)For the sequence -1, -7, -13, -19, -25, ... the formula for the sequence is : a¡= L; i= 1, 2, 3,…

A:

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: i) Find the general term (an) of the sequence 24 6 16 50 12 ' 3'3 7'21 69 17

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Q: 1. Write down the first five terms of the sequence given by: an = (-1)^n+1 / n 2. Find the common…

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Q: a) Write an algebraic expression for the nth term of this sequence. Figure 1 Figure 2 Figure 3 b)…

A: The pattern of the Z counters is given, we have to find the algebraic expression for the nth term of…

Q: 1. A sequence having a constant ratio is known as d. Fibonacci sequence b. arithmetic sequence c.…

A: A geometric sequence(a, ar, ar^2,.....ar^(n-1)) is a sequence in which the ratio between any…

Q: Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your…

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Q: Write an algebraic expression for the nth term of each sequence. Then use your expression to…

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Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?

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Q: 1. Consider the arithmetic sequence U1,24, 31, 38, ... a. Write down the first term, uj and the…

A: We have used formula for common difference. sum of Nth term of A.P.

Q: Fibonacci sequence. Find the following: 1, 1, 2, 3, 5, 8, 13,..

A: If F is Fibonacci sequence then  Fn = Fn-1 + Fn-2

Q: 7. In the arithmetic sequence 1, 5, 9, 13, .., which term is 405? * О 102 O 101 О 100 О 9

A: GIVEN: Arithmetic sequence 1, 5, 9, 13, ........

Q: In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species of…

A: finonacci sequence is defined as sequence in which each term is the sum of two proceeding terms.…

Q: Find the sequences of difference for those sequences given below. For example, for the sequence an:…

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Q: 5. Which of the following sequence illustrates a Fibonacci sequence? b. 0, 1, 1, 2, 3, 5, 8,... d.…

A: We will find out the required value.

Q: e to Parents_Students Pa X + ourses/16936/quizzes/106702/take/questions/2487967 School Others…

A: A detailed solution is given below.

Q: O O A 2. What is the approximate ratio between the Fibonacci number 610 and the number 377, which…

A: Use Fibonacci series

Q: 19. Consider the following sequence: 2, 4, 8, 16, _____ a. Determine the missing terms of the…

A: As per the guideline I am supposed to solve only first three subparts of the given problem. Consider…

Q: 10 13 4, 10 ' 3 4) 5.

A: Basically, there are two rules that are the rule of addition or subtraction and the rule of…

Q: A. Describe the pattern and supply the missing terms in each sequence. 1) 3,7,______,15,. 2)…

A: “Since you have posted multiple questions we will solve the first three subparts for you. To get the…

Q: What is the common ratio of the sequence 108, 36, 12...? O 1/4 3 O 1/3 51

A: