3. A sequence is defined by the formula f (n)-S(n-1)3D15 and f(1)= 4. Which of the following is the value of f(25)? (1) 111 (3) 215 (2) 115 (4) 364

Q: 4. for the recursivley defined sequence: Σα Find Ea; an=3an-1-2n for n22

A: The expression ∑i=14ai can be expanded as follows. ∑i=14ai=a1+a2+a3+a4   It is provided that a1=4 .…

Q: The general term of the Fibonacci sequence is: A) F.-V6((노)"+ (부)) 1+v5 B) F.-V6((누무)"-(부부))…

A: Let Fn  be the Fibonacci sequence.

Q: Match the sequence with the given nth term with its graph. an = (-1)" an an 10 2- 8 1 ... 6. 4. 2 4…

A:

Q: 10. Find a, for the sequence with generating function 2. (1-2) 1-1-2" - Hint You should "multiply"…

A:

Q: For the sequence defined by: a1 2 4 - 1 an An +1 Find: a2 аз — A4 =

A:

Q: For the sequence an = 5 + 3 · (n – 1), - its first term is its second term is its third term is its…

A:

Q: 30. аn e4n/(3n+9)

A:

Q: For the sequence defined by: 4 +4 An An +1 Find: a2 %3D a3 %3D

A:

Q: 13. Solve for x & y if the given sequence is arithmetic 2х + 5y, 2y, 3х + 2, 4x — Зу

A: Given- 2x+5y,2y,3x+2,4x-3y To Find- The value of x and y if the above sequence is arithmetic.

Q: Find a formula for the nth term of the sequence. 2) 0, 2, 0, 2, 0 (alternating 0's and 2's) A) an =…

A: Option C is correct.  Checking options we get that for nth term series in option C is correct.  Put…

Q: 1) Find the first five terms of the sequence f(n) =- 2n -1 Round your answers to two decimal places.…

A: Solution:-

Q: 12 Indicate a general rule for the nth term of this sequence. 6m, 3m, 0, -3m, -6m, . . . a n =…

A:

Q: > The general term of the sequence 1,!! ! , starting by n-0 is (6) 2n+1 (ii) (iii)None of these

A:

Q: a1 = -1, and for n = 2, 3, 4, .. What is the common ratio, r, for this sequence? O -- O r--1

A:

Q: Find the formula of the general term an of the sequence: 3 1 2 .. 1, 2 2

A: The solution is given as

Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

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

A:

Q: 4. (a) If (Cn)1 is the sequence Cn := ntn-2, compute lim,,0 Cn, sup{cn :n E N}, n2 and inf{cn : n e…

A:

Q: Find a formula for the general term an of the sequence 2 5 8 11 14 3'9 27' 81' - 243' assuming that…

A: find Your Solution Below

Q: Describe the long-term behaviour of the sequence (xn) given by  xn = 81 x (0.9)n - 15      (n=…

A:

Q: n2 is, 3n-1 th The 4" term of a sequence whose nth term an= - 16 Od. 11 9 16 None a. 8 Ob. 11 Oc.

A: We have to find 4th term of a sequence whose nth term is given as: an=-1n+1n23n-1 To find 4th term…

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.

A:

Q: What is the value of r for the following sequence. 1/2,1/4,1/8,1/16 ..

A: In the question we have to find the value of r.

Q: Compute the first 6 terms of the sequence {an} where An-1+n a1 = 1 and an for n > 2.

A: The given sequence,a1=1 and an=an-1+n2 for n≥2

Q: For the sequence an = 4 – 4· (n – 1), - | its first term is its second term is its third term is its…

A: The given sequence is an=4-4n-1To find:a1, a2, a3, a4, a5, d

Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: First three terms of the sequence

Q: B. Find the first three terms of each sequence using the given rule. 1. a = 2 and an= an-1+3, for…

A:

Q: 1 Find the twentieth term of the sequence an = 2 ( 0.1 )"

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find first 5 terms of the following sequence: {an} given by a, = (-1)" („ 3n-2 n2-2n+3 99 Evaluate:…

A: First five terms of the sequence an=(-1)n(3n-2n2-2n+3) at n =1  a1=-3-21-2+3=-12 at n =2…

Q: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

A:

Q: Find a formula for the nth term of the recursively defined sequence where a, =1, an+1 an for n21. 4"

A:

Q: The nth element of the following sequence – 1, 2, –4, 8, ...is А. (-1)" 2ª-1 В. 2п-1 С. 2n D. None…

A: We will solve the sequence { an } to get an explicit formula for an .

Q: Suppose that a sequence is defined as follows. a1=-2, for n>2 an= 3a,-1+2 List the first four terms…

A:

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

A:

Q: Suppose that a sequence is defined as follows. dy a1=-4, an = 3an-1+4 or n> 2 List the first four…

A:

Q: Which of the following represents the general term of the sequence 2 1 3 5 6 12 20 30 42 56 7 9 ? 11…

A:

Q: Suppose b1, b2, ba,.. is a sequence defined as follows. Show that 5 b, for all integers n > 0. bị =…

A:

Q: > The general term of the sequence 1, 2' 4 , starting by n=0 is .. +00 (i) n+1 +00 (ii) (iii)None of…

A: In the question it is asked to solve for the general term of the sequence given in question.

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…

A: Given query is to find the nth term of the sequence.

Q: [2] Find the infinite sum S below consisting of the terms of a geometric sequence. 1 S= -- -+ 4 8.…

A:

Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

A:

Q: Find the first six terms of the recursively defined sequence Sn = 38n-1 +1 for n > 1, and s1 = 1.…

A:

Q: For the sequence defined by: 2 1 - 3 An a1 || аn +1 Find: a2 az = a4 = II

A:

Q: 5. Consider the table and match the explicit formula that fits the geometric sequence n 1 4 f (n) a.…

A:

Q: Consider the sequence defined by s0 = 0, s1 = 1, s2 = 2 and sn = sn−1 − sn−2 + sn−3, for n ≥ 3.…

A: Here, s0=0s1=1s2=2

Q: The limit of the sequence an= (1+)* -- is: 3n (a) – e (b) el7) (c) e-3 (e) None a b C d e

A:

Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

A:

Q: 7. Find the first five terms of the sequence defined by each of these recurre a) an = 6an-1, a0 = 2…

A: Introduction: A recurrence relation is a formula that describes a series based on a rule that…

Q: =(-1) 你十2

A:

Q: Here is the recursive definition of a sequence: f(1) = 35, f(n) = f(n – 1) – 8 for n > 2. 1 List the…

A: The recursive defintion is:fn=fn-1-8 for n≥2f1=35To find the first five 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.