Find the limit of the sequence whose nth term is 2n + ln(n) An= 5n Show...
Consider the sequence: {an = ln (2n? +n) – In(n? +10)}. (1) Give a, and a2 (2) Find algebraically (without using a calculator) the limit of the sequence if it exists. Show your work.
A student wants to know how can she prove that a sequence whose nth term is on 4 is arithmetic and a sequence whose nth term is 5.3 is geometric. How do you respond? How can she prove that a sequence whose nth term is 5n+ 4 is arithmetic? and a, - The expression 5n+ 4 can be rewritten as which has the form a, + (n-1)d. Thus, it is an arithmetic sequence with d= (Type exact answers, using radicals...
Find the first four terms and the 100th term of the sequence whose nth term is given. 1 an 2n + 5 = a1 az = a3 = a4 II a 100
Find the nth partial sum of the arithmetic sequence. an 5n + 2; n = 10 S10 =
28. Find the nth term of the arithmetic sequence {an} whose initial term is a = 6 and common difference is d= -2. What is the 51st term?
33. Find the fifth term and the nth term of the geometric sequence whose initial term a1 = -2 and the common ratio is r=4.
Find the first four terms and the 100th term of the sequence whose nth term is given. (-1)" an = n2 21 a2 a4 a 100
Find the first four terms and the 100th term of the sequence whose nth term is given. an = 4n - 2 a1 az a 3 a 100
Determine whether the sequence an = ln(2n + 1) - In(n +2) converges or diverges, and if it converges, find the limit. Find the length of the curve defined by x = 2t3, y = 3t2, osts 1.
(a) Use Bounded Monotonic Sequence Theorem to show that the sequence with the given nth term converges, (b) Graph the first 10 terms of the sequence and estimate its limit. an