Let (x,) be a convergent sequence of real numbers and let (a,) and (b,) be subsequences of (x,) with a, +b, for all nEN. Which of the following sequences is divergent? Select one: O a. 2 ("q – "D)° an-bn b. O c.In(a,-b,) 1 O d. cos(a, - b,)

Q: For each sequence {an}1, prove it converges by showing that it is bounded and mono- tone, and find…

A:

Q: 25. Write the nth term of the sequence 2, 8/3, 32/9, 128/27... as a function of n.

A: Given,          2,  83, 329. 12827, . .  .

Q: Suppose that the sequence x, x1, x2... is defined by xo-1, x₁ =6, and xk+2=7xk+1-12x for 20. Find a…

A: Ans :

Q: sin(4n) Given the sequence an n? + 3

A:

Q: Q5. Find the linear convolution of the following two sequences x(n) [3,11,7,0,-1,4,2] -3sns3; h(n) =…

A:

Q: 1. Let (n) be an increasing sequence of positive real numbers and define the sequence (yn) as…

A:

Q: Q9) Find the rule for the nth term (term an )of the following sequence: a) 2, 6, 18, 54, ... b)…

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

Q: 40. Which of the following functions can be used to find the nth term of the sequence 6, 11, 16, 21,…

A:

Q: Find the limit of the sequence an = (cos n) 4n

A:

Q: A sequence has a recursive formulatn = tn-1+nº, tị = 5. Determine t3.

A: The given recursive formula of the sequence is: tn=tn-1+n3...(1) And t1=5

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.