Use MATLAB to solve each problem. Some of the commands you may need on this assi

Question

Use MATLAB to solve each problem. Some of the commands you may need on this assignment are: syms, limit, symsum, factorial, and double. Note: If you define a sequence in MATLAB using the form a(n)., then running the command a(1:5) e sequence. 1. (3 points) For each of the following sequences, (T) Find the first 10 terms of the sequence. (II) Determine if the sequence converges or diverges. (a) an = (1 +-) ,n21 (b) an = (2n)5/n, n 21 (c) an n2 1 (d) an=T e) an rl (2n)! 4n - 31 2n+1 4n +51 , n2 2 (3 points) Suppose the nth partial sum of a series ? an is given by Sn below. For each, (1) Find ype here to search

Explanation / Answer

2)

(A)

n = 1 : 10;
s1 = zeros(1,10);
s2 = zeros(1,10);
s3 = zeros(1,10);
for i=1:n
s1[1,i] = i - sqrt(i^2+i);
s2[1,i] = i^3 / (log(i) + 1)^8;
s3[1,i] = i^3 - i^2 / sqrt(i^6 + 1);

(B)

n = 1 : 10^6;
s1 = sum(n - sqrt(n^2+n));
s2 = sum(n^3 / (log(n) + 1)^8);
s3 = sum(n^3 - n^2 / sqrt(n^6 + 1));

(C)

a1_10 = (10 - sqrt(10^2+10)) - (9 - sqrt(9^2+9));
a2_10 = (10^3 / (log(10)+1)^8) - (9^3 / (log(9)+1)^8);
a3_10 = (10^3 - 10^2 / sqrt(10^6 + 1)) - (9^3 - 9^2 / sqrt(9^6 + 1));

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