Finding the nth term of a sentence and determine whether the sequence converges or diverges. 2,24,720,40,320, 3,628,800,....

Q: Let an ,n 2 1 In(2" + 1) divergent Determine if the sequence {an}n=1 is convergent or

A:

Q: Find the common ratio of a geometric sequence Question Which of the following are geometric…

A:

Q: 3 if it exists. Find the infinite sum of the geometric sequence with a = 5, r = Question Help: D…

A: Given that:a=5 and r=37To find the infinite sum of geometric sequence

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ..)…

A: topic - sequence and series

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ...) 8…

A: Given,

Q: Determine whether the sequence is increasing,decreasing, or not monotonic. Is the sequence bounded?

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: Is this sequence geometric? 2, 4, 12, 48,..

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, 2 3 4…

A:

Q: n! n-1, 2, 3, .. 1) Find the third term of the sequence, a, 3" +4n

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: 4. Which is a finite arithmetic sequence? O {20, 10, 5, 2.5, 1.25} {2, 4, 6, 8, ...} {100, 10, 1,…

A: Given:- sequences  {20, 10, 5, 2.5, 1.25} {2, 4, 6, 8,...} {100, 10, 1, 0.1....} {7, 10, 13, 16,…

Q: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Given: The first term of the arithmetic sequence is -4, i.e. a=-4.            The fifth term of the…

Q: Write an expression for the nth term of the sequence and then determine whether the sequence you…

A: Given Data The sequence is 2,8,14,20,.......... The first term of the sequence is a1=2. The second…

Q: Consider the geometric sequence defined by an=3 (2) n–1 1. Find the first four terms of the…

A: The given geometric sequence is: an=3×2n-1

Q: Directions; Find the sum of the infinite geometric sequence 1. 4.64, 16, 4, 1 2. 120, 12, 6/5,. 3.…

A: Note: The option 1 is considered as 64, 16, 4, 1,… .   A geometric sequence is represented as a, ar,…

Q: Give an example, with explanation, of a sequence that converges to 8.

A:

Q: 6 The nth tem ofa sequence is.guen find the first five terms of the sequence.

A: Simply put different values of "n" to get the desired term.

Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…

A:

Q: What is a formula for the nth term of the given sequence? 250, 100, 40...

A: Given Data: Sequence: 250, 100, 40...   The given sequence is a geometric sequence.   The constant…

Q: The nth term of a sequence is given. Find the first 4 terms. an 6n - 8 6, 4, 10, 16 -2, 20, 10, 32…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The solution of the sequence is :

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: 6. Choose the correct answer. What is the 7th term of the sequence given? -4, 24,-144, 864, .. *** O…

A:

Q: Determine whether the sequence is increasing, decreasing, or not monotonic.  Is the sequence…

A:

Q: n + 1 Does the sequence a, converge or diverge? Give reasons for your answer.

A:

Q: etermine whether the sequence converges or diverges. (-1)" + 1n3 an n3 + 9n2 + 7

A:

Q: W rite an expression for the nth term of the sequence and then determine whether the sequence you…

A: Given: The terms of the sequence are: 1, -14,19, -116... To determine: The nth term of the sequence…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given The sequence =  1 , - 5 , -11 , -17 , -23 ............ Let's assume First term = a1 = 1

Q: Bonus. Suppose that {a,}n is a convergent sequence and that {b„}n is a divergent sequence. Can the…

A: {an+bn} can't be convergent.

Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: The sequence is given as 3, 12, 21, 30, ....

Q: 1 2.3' 3.4 4.5' 5.6" 2 3 4

A: To find the nth term of the sequence And to determine whether the sequence converges or diverges.

Q: SUM of the first 48 terms of the sequence given below: -11, –7, –3, 1. The sum of the first 48 terms…

A: Sequence is  { -11, -7, -3, 1, 5, .........}    This is an Arithmetic Progression, where first term…

Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: Sequence is,  {5, 1, 0.2, 0.04, ....... }    Hence,  Ratio of T2 and T1  =  1/5  Ratio of T3 and T2…

Q: Find the common ratio of a geometric sequence Question Which of the following are geometric…

A: To check the following sequences are geometric or not, if geometric then find the common ratio.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given : 6, 3, 0, -3, -6,…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The terms of a sequence is given as 0,-5,-10,-15,-20,... To find the nth term of the sequence.

Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that…

A: We know sequence is convergent when limit of sequence is finite

Q: 1. Choose the correct answer. What is the equation for the 9th term of the sequence given? -2.5,…

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A: Write the nth term of the sequence from the given information:…

Q: not? This is a geometric sequence since there is a common ratio between each term. In this case,…

A: As per our guidelines I am solving only first problem please repost other question  b) the given…

Q: 7. The graph of a certain geometric sequence can be described as a curve increasing from left to…

A:

Q: B. Determine if the pattern illustrates Geometric Sequence or Arithmetic Sequence 1. 3,8, 13, 23,.…

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

Q: 3 What is the 6th term of the sequence defined below? 1, = 7 , = r,+4.50 Solving a Sequence or…

A:

Q: Find the indicated terms of the geometric sequence with the given description. The third term is --…

A: Given  Third term = -13 Sixth term =  9

Q: Determine whether the sequence is increasing, decreasing, or not monotonic.  Is the sequence…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given sequence, {11, 16, 21, 26, 31, ...}

Q: Determine whether the sequence is arithmetic, geometric or neither. Select an answer v 0.125, -0.5,…

A:

Q: Many graphing utilities have a sequence-graphing mode that plots the terms of a sequence as points…

A: Sketch the sequence on the graphing utility in the window 0,1000,100 by 0,1,0.1.

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.