Let {an} be a positive monotonic sequence with sup an = 12345. Which of the following statements is CORRECT? O A. The sequence converges to 12345. O B. None of these. O C. The sequence converges. O D. inf an = 0. O E. The sequence is increasing.

Q: 34 Suppose {an}nzo is a sequence of real numbers such that 11 an 20. Find the value of 112(a + 1).

A:

Q: ind the sum of the geometric series 20 40 5 - " + 9. 27

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: Indicate the values of x and y such that the following equation holds for every sequence {an}n>0 60…

A:

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: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly…

A:

Q: 4- 120..} .... Determine the next term of the sequence { - 24

A: The sequence is  {12,-16,124,-1120}  +2 = (-1)2 ÷ 2! -6  =  (-1)3 ÷ 3!  24 =  (-1)4 ÷ 4!  -120 =…

Q: 16.Consider the first 3 terms of the sequence a, (where k 2 2). A. Give the first 3 terms of the…

A:

Q: Find the first four terms of the finite sequence an= 3n A.3,6,9,12 B. 3, 7, 10, 13 C. 1, 3, 6, 9 D.…

A:

Q: Let (a,) be a monotone sequence of real numbers. Which of the following statements about (a,) is…

A: it is not permissible by the company to provide personal detail....so sorry for that Given an is…

Q: List the first five terms of the sequence. an = cos 2.

A: Put n=1,2,3,4,5 in an=cosnπ2. For n=1, a1=cosπ2     =0 For n=2, a2=cos2π2     =cosπ     =-1

Q: What is the missing term in the sequence? 5, 11, 23, 47, Select one: a. 125 O b. 95 O c. 105 d. 115

A: Solution: Given sequence, 5, 11, 23, 47,......

Q: 1. Use the given rule to write the 4th,5th,6th, and 7th terms of each sequence. an= n + 1/n + 2

A:

Q: 13. -5, -3, -1, 1, ... Type of Sequence: General Form:

A: Given :  -5, -3, -1, 1, ...

Q: 15) Find an and a21 for the arithmetic sequence for which S₁7 = 187 and a₁7 = - 13. Hint: Use the…

A: For an arithmetic sequence, we have,S17=187a17=-13 To Find:ana21

Q: A sequence {an} is called monotonic, if it is neither increasing nor decreasing. Select one: O True…

A: False.

Q: Which one of the following sequences below is arithmetic? O 48, 24, 12, 6, 3,... O48, 44, 38, 30,…

A:

Q: 3. The third term in the sequence defined by t = 5, t, = t-1+8 is 21 С. 5 d. 29 a. b. 13

A:

Q: 10. Which set is an example of a harmonic sequence? 1 1 1 1 a. 2 57 2 1 1 1 1 b. 2'4'6'8 1345 С. 2'2…

A: Topic = Sequence Correct option = b

Q: 8. Which of the following completes the sequence? quence? 3 ? A B с D

A: Expanation :  From given picture  Each curved arrow moves  clock wise direction  Step -1 :  One…

Q: A sequence { a n } is defined as follows: a =3, a₁ = 1, and for n ≥ 2, an an-1-an-2 -2. What is a 3…

A:

Q: an-1. 9. A sequence is defined by the rule a, = a = 20. Find the value of a, . +n with i=1

A: We have to find the sum of sequence

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.