25. Find the first five terms of the recursive sequence an = n + 3an-1 where...
Given the sequence an defined recursively as follows: an 3an-1+2 for n 2 1 Al Terms of a Sequence (5 marks) Calculate ai , аг, аз, а4, а5 Keep your intermediate answers as you will need them in the next question. A2 Iteration (5 marks) Using iteration, solve the recurrence relation when n21 (i.e. find an analytic formula for an). Simplify your answer as much as possible, showing your work and quoting any formula or rule that you use. In...
(1 point) Consider the sequence ax ncos(n) 2n-1 Write the first five terms of a,, and find liman. If the sequence diverges, enter"divergent" in the answer box for its limit. a) First five terms: b) lim,-- ..
write a recursive algorithm to find the sum of the first N terms of the series 1, 1/2, 1/3, ... 1/N
(1 point) Write out the first five terms of the sequence determine whether the sequence converges, n=1 and if so find its limit. (-1)+1 Enter the following information for an = (n+1)2 lim (-1)^+1 n+ (n + 1)2 (Enter DNE if limit Does Not Exist.) Does the sequence converge (Enter "yes" or "no").
2- 4. Given the Sequence below(-3)***** a) Write the first five terms of the sequence. b) Provide a sketch for the first five terms of the sequence. Does the sequence approach a number? c) Does the sequence Converge or Diverge as no? Explain your answer. d) Find lim,--..(am + b), where a, the general term you found in a) and m2+1 Does the limit converge?
sequence {d}} = {(–1)n-1 (2-2)} 23. Write down the first five terms of the
Consider the recursive sequence of terms Zn =22 in-1 1 where x1 = 2. What is the value of x4?
Give a recursive formula s(n) for the sequence of squares [1,4,9, 16, 25,...] of the form s(n 1) as(n) + bs(n - 1) +cs(n-2), where a,b and c are real numbers. You do not need to prove that your formula is correct.
Write out the first four terms of the following recursive sequence. a0=3,a1=2, and an+2=an+1⋅an
rite the first four terms of the recursive sequence. a1-5, an = for n22 2 a,-□ (Type an integer or a simplified fraction )