3. In the sequence {1, 5, 9, 13, 17, ...}, which term is ag? O a3 = 17 O az = 5 O az = 1 O a3 = 9

Q: Suppose that the sequence {a}, is =1 1,3, 5, 7,9, 11, 13, .. Find the sum s=E k=1

A:

Q: F21 - 5F, = %3D (4F, + F,, )/2 = (3F,3)/6 = %3D

A:

Q: in the sequence 1,4,8,10,15,26,95,17,80 which of the following would be the correct way to refer to…

A: As we can see  26 is 6th term in the given sequence

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: Consider the following sequence of towers of unit cubes. How many unit cubes are there in the nth…

A: First we will count the number of cubes in all the four diagrams. In Diagram 1: 1 cube In Diagram…

Q: F21 - 5F, = (4F, + F11 /2 =| (3F,3)/6 =

A:

Q: The first four terms of the sequence defined by An — пар-1 + п*a,-2, do — 3, а1 = 3, a1 = 4 are ao =…

A:

Q: The first four terms of the sequence defined by a, = na,-1+n²an_2, a0 = 1, a2 = 3 are %3D ao = 1, a1…

A: Given nth term of the sequence is, an=nan-1+n2an-2 , and  a0=1, a1=3. Substituting n=2 in equation…

Q: First four terms of the sequence are: O O O ○ ○ O 6 {ff, 5 14 9 n²+5 n 1+4 n 61 36 26' 14 { 14/1/2,…

A:

Q: Which of the following represents the Fibonacci sequence? O a1 = 1, a2 = 1, an = an-1 – an-2, for…

A: We will find the Fibonacci sequence.

Q: Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on.…

A:

Q: F29 * 3 -( 3

A: We know that, nth Fibonacci number is given by the formula Fn=151+52n-1-52n

Q: 8. Use a difference table to predict the next term in the sequence. 1, 14, 51, 124, 245, 426, ...

A:

Q: S) Predict the nth term of the sequence, given the first five terms. a1 = 2, az = 5, az = 10, a4 =…

A: Given: first 5 terms area1=2; a2=5; a3=10; a4=17; a5=26

Q: 4. Give a recursive definition of the sequence an if an = n(n+1), where n = 1, 2, 3, ... %3D

A: We have to give a recursive definition of the sequence an where an=  n(n+1) for n= 1,2,3,....

Q: The third term in the sequence with a1 = 2 and an = an-1+4n where n > 1 is, O 22 O 10 O 14 O 26 O 2

A:

Q: Find the 70th term of the following arithmeti c sequence. 4, 11, 18, 25

A: First term of the A.P. is 4 Common difference, means the difference between two consecutive terms is…

Q: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

Q: (2n + 1) ifn is divisible by 4 18. a 21 if n is not divisible by 4

A:

Q: 3. Consider the pattern manifested by the tiles below. az az a4 as (a) What is the nth-term formula…

A: To find first five terms of the sequence,we substitute n=1,2,3,4,5 in the expression of Tn. After…

Q: For the sequence defined by: ai = 2 1 + 5 An аn + 1 — Find: a2 az = a4 = II

A: To find  a2 , a3 , a4  substitute n=1,2,3 respectively  in the given equation.

Q: 1 The following sequence is geometric: a, = 8, and a,=--a, , for n = 2, 3, 4, ... %3D O True O False

A: The given sequence a1=8 and an=-16an-1 for n=2,3,4,......

Q: The general term of the sequence 1, 24'8 ... , starting by n=1 is to0 1 (i) n=1 +00 1 (ii) n=1…

A:

Q: | 1. What are the first five terms in the recursive sequence defined by the following? = Ip An =…

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Q: the

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Q: 9. If the information given below represents a geometric sequence, find az. = 3645 and a1 = 15 %3D

A: The information given below represents a geometric sequencea1 = 3645 and a6 = 15Let, the common…

Q: In geometric sequence a1, a2, , an , if a5 3328 and a7 53248, then the common ratio is %3D 3 O 4 O…

A: In the GP Find the common ratio of. The GP Fifth and seventh term are given

Q: 20. Which is (are) the initial condition(s) for the Fibonacci sequence? O F₁ = 1 O Fo=0, F₁ = 1…

A: Solve the following

Q: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What…

A: Given problem:-

Q: Given the following three sequences: I. 2, 4, 6, 8, 10... II. 2, 4, 8, 16, 32... III. а, а + 2, а +…

A: Given sequence are                I .   2, 4, 6, 8, 10, _ _ _               II .   2, 4, 8, 16, 32 _…

Q: In geometric sequence a1, a2, · · , an , if az 1421 and a5 69629, then the common ratio is

A: Given,          In geometric sequence a1,a2,....,an if a3=1421 and a5=69629.We know that,…

Q: n a theatre, there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third…

A: In a theatre, there are 15 seats in the first row19 seats in the second row.23 seats in the third…

Q: 2: Assume that the patterns shown by the square tiles in the following figure continues. What is the…

A: Given that:   There are 5 pattern shown in the given figure, and find the total number of tiles in…

Q: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

A:

Q: let be a sequence sit. 2 for oxaza2 12 then 6'mam=? 348

A: Let an be a sequence  such that for 0<a1<a2 an+1=an+an-12,n⩾2. Find limn→∞an.

Q: Given the following sequence: 8,12,16,20,24.. This serie O Geometric O Harmonic O Arithmetic O…

A:

Q: As which term does appear in the sequence 81, 27,9...? a. 5th b. 11th 8th с. d. 15th е. 12th

A:

Q: In geometric sequence a1, a2, · ·… · , an , if az = 686 and ag = 33614, then the common ratio is O…

A: Given a1,a2,a3…,an is geometric sequence.  To find the common ratio if a3=686 and a5=33614.…

Q: In geometric sequence a1, a2, · -, an , if az = 416 and a5 6656, then the common ratio is O 64 O 4 O…

A:

Q: What are the first five terms of the following sequence? a₁ = 25, an an-1-5 O 5, 10, 15, 20, 25 0…

A:

Q: 14. Assume that the pattern shown by the tiles below continues. How many square tiles are in the…

A:

Q: Which of the following conjectures describes the pattern of the sequence 2, 4, 8, 16, 32? * O Two is…

A: Given: 2, 4, 8, 16, 32?

Q: 1. a) Determine the first three terms of each sequence, where ne N. b) Determine whether each…

A:

Q: What is the probability that a 10-digit ternary sequence (0, 1, 2) has exactly three O's?

A: In 10 digit ternary sequence a sequence of size of size 10 is constructed using 0,1 and 2 where each…

Q: Construct the difference table to predict the next term in the sequence: 6, 9, 14, 26, 50, 91, 165 O…

A: Here, to construct the difference table to predict the next term in the sequence 6,9,14,26,50,91,__

Q: I) Consider the sequence 4, 6, 8, 10, 12, (a) If {an} denotesthis sequence, then n=1 a1 =

A: Given the given sequence is 4, 6, 8, 10, 12, ···

Q: What are the terms ao, aj, a2, and az of the sequence {an}, where an equals b) (n + 1)"+l? d) [n/2]…

A: a. an=2n+1. The terms become a0=20+1=1; a1=21+1=3; a2=22+1=5; a3=23+1=9 Therefore, the terms of the…

Q: on 6 mula for the general term a,n of the sequence assuming the pattern of the first f {7, 12, 17,…

A: We have to find the nth term according to the given sequence

Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419