(ii) Verify whether the sequence a, =4" +5 is a solution of the recurrenc %3D relation a n=5a,-1-4a,-2 or not. Justify your answer. %3D |

Q: The sequence

A: We use ratio test to prove convergence or divergence here.

Q: find the sum of the finite solution.

A: The given series is a Geometric progression.  If a, ar, ar^2, ar^3,.....ar^n-1 is a Geometric series…

Q: . For the function an = 3-1, what are the first 6 terms? 2¹2-3 - Write the first four terms of a…

A: The details solution is given below

Q: Find the 8th term of the arithmetic sequence -5x + 8,-x+3, 3x - 2,..

A:

Q: Use polynomial fitting to find a closed formula for the sequence (an)n 2 1: 4,11, 20, 31, 44,..

A: Given Sentence is 4,11,20,31,44......We can see that       11-4 =7                        }⇒9-7=2…

Q: Find x so that 4x, 5x - 3, and 7x - 1 are consecutive terms of an arithmetic sequence.

A: For the arithmetic sequence difference between terms should be same Hence  (5x - 3) - 4x = (7x - 1)…

Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: Use polynomial fitting to find a closed formula for the sequence (@n)n e N: -2, -1,4,13,26, ...

A: Given the sequence  -2,-1,4,13,26,........ Using polynomial fitting to find the closed formula for…

Q: The sequence 4; 9; x; 37; . . . is a quadratic sequence. 2.1 Calculate x

A: In a quadratic sequence of numbers, the second difference between any two consecutive terms is…

Q: The sequence of positive whole number is given such that a1 1. If a7=120 find as

A: Given series is called Fibonacci series, where sum of next term is sum of earlier two terms.

Q: Find all values of x such that x – 7, x +7, and 8x – 7 form a geometric sequence. Give your answers…

A:

Q: Find the Z hransform of the casual sequence i Xx Y where XK = 4K- 29%

A:

Q: For the sequence an

A: Given, the sequence      an=2(an-1-2), and a1=1

Q: List the first five terms of the sequence. (-1)" - 1 %3D %3D %3D %3D %3D 2.

A: We need to list the first five terms of the sequence -1n-1n2. Now,…

Q: Given the recursive equation below, write the next five terms of the sequence. f(0) = 4; f(n) = f(n…

A: Given:f(0)=4f(n)=f( n-1)+4

Q: Determine whether the sequence c (-1)"n3 n3 + 3n2 + 3 an %3D

A:

Q: What is the sum of the sequence E(1+k!) R-0

A:

Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an),20 which starts, 1,…

A:

Q: Given the recursive equation below, write the next five terms of the sequence. f(0) = – 3; f(n) =…

A: We can solve this as follows:

Q: Find the 13th term of the arithmetic sequence 3x-11, -6, -3x-1, -6x + 4.

A:

Q: Suppose Suppose a, = 3n? – 3n – 3. Find a closed formula for the sequence of differences by…

A: Given, an = 3n2 -3n +3  We have to find an-an-1

Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: Write an explicit formula for the sequence: 6 - 1' 7- T 8 9 - x 10 - * 7' 12 + 1' 18 + 12' 24 + ' 30…

A:

Q: Write the second term of the sequence.an = 2an-1 - 4, a1 = 3_______

A: Given that, an=2an-1-4a1=3

Q: For the sequence defined by: a1 =3 4 an+1= an 3D3 +1 Find: a2 = a3 =

A:

Q: Use a system of two equations in two variables, a1 and d, to:Write a formula for the general term…

A: an=a1+(n-1)d

Q: Suppose An = 2n^2 + 6n + 6. Find the closed formula for the sequence of differences by computing An…

A: As per our question, we need to find the closed form of an-an-1×an-an-1 First find an-1 and then…

Q: Find the value of the summation. 3 %3D k=1

A:

Q: Write an explicit formula for the sequence 7, 2, -3, -8, –13, ... Then find . = -5n + 12; -58 14 -5n…

A: To find the explicit formula of a sequence and a14

Q: Find all values of x such that x – 4, x + 4, and 4x – 4 form a geometric sequence. Give your answers…

A:

Q: Q2. Find the nth term of each of quadratic sequences

A: The quadratic equation has the standard form of y=ax2+bx+c. The data satisfying the quadratic model…

Q: Write the second term of the sequence.

A: an=(-1)n4n-1

Q: The sequence an 3" =- is eventually increasing %3D n! Select one: O True O False

A: Given sequence

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: Use polynomial fitting to find the formula for the nth term of the sequence (an),n20 which starts,…

A: To use polynomial fitting to find the formula for the nth term of the below sequence. 0, 2, 6, 12,…

Q: What is the closed linear form of the sequence of the negative even integers starting with -2? A) An…

A:

Q: 2. Find a formula for the sequence given by Xn+1 4.xn - 5xn-1 + 2xn-2 n 2 2, with xo = 2, x1 = 7 and…

A:

Q: Write the first three terms of the sequence. 2n -5 an 2 n* +2

A: We have to simply put n = 1,2,3..... To find out terms of sequence

Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

A:

Q: Suppose Suppose an = 2n² – 5n + 5. Find a closed formula for the sequence of differences by…

A: It is given that an=2n2-5n+5. Thus, an-1=2n-12-5n-1+5=2n2-2n+1-5n+5+5=2n2-4n+2-5n+5+5=2n2-9n+12

Q: What would be the 31st term of the sequence x?,x, 1.. .... ..... .... A. x28 1 В. x26 1 C. x28 1 D.…

A: The solution are next step..

Q: Determine whether the sequence {2n+3 / 2n+1} is increasing, decreasing, or not monotonic.

A: Given: A sequence To Determine: Whether it is increasing, decreasing, or not monotonic.   Concept:

Q: the sequence an се

A:

Q: find x so that the numbers 4x-1,2x+2, and 2x-3 form an arithmetic sequence.

A:

Q: write the first term of the geometric sequence A1=2x r=1/x n=4

A: The nth term of a geometric sequence is an=a.rn-1

Q: Suppose Suppose a,= n2 – 2n + 4. Find a closed formula for the sequence of differences by computing…

A:

Q: The sequence an = {nn} is eventually decreasing %3D Select one: O True O False

A: We call the sequence decreasing if an >an+1 for every n.   an = n1/n an+1 = (n+1)1/n+1   n1/n…

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.