how can i calculate the series using the first 10 terms of the sequence

term = 0; % initialize variable
% loop 10 times
for n = 0:9
% calculate term
term(n+2) = term(n+1) + (1 / factorial(n));
% display term
fprintf('Term %d = %f\n', n+1, term(n+2));
end

Output

Term 1 = 1.000000
Term 2 = 2.000000
Term 3 = 2.500000
Term 4 = 2.666667
Term 5 = 2.708333
Term 6 = 2.716667
Term 7 = 2.718056
Term 8 = 2.718254
Term 9 = 2.718279
Term 10 = 2.718282

The Euler's number (?) is an important mathematical constant that forms the base of the natural logarithms. This number can be obtained in MATLAB by typing: exp(1), in other words, ? to the power of 1. The exact value of ? can be defined by the infinite series:

? = ∑

1 ?!

∞

?=0

where ?! is the factorial of ?.

You are asked to create a MATLAB M-file named “problem1_XXX.m” (exactly like this, without capital letters or spaces, and substituting XXX by your full student number) that

1. uses a FOR loop to display in the Command Window the first 10 terms in the sequence. Hint: the factorial of ? (or ?!) in MATLAB is obtained by typing factorial(n).

2. calculates the series using the first 10 terms of the sequence.

3. obtains the error of the previous series (in %) with respect to the value of ? that is stored in the memory of MATLAB.

4. creates a plot in which the number of terms that are included in the series appears in the abscissa (?) and the result of the series for the corresponding number of terms appears in the ordinate (?). The line should contain ‘x’ markers to indicate each value of the series.

5. includes in the plot useful labels and a line at ? = ? to represent the value to which the series should converge.

R.D 2020-4-10

Plot all the rain drops on the window when the time is 0 s (i.e. at the start of the journey) using a FOR loop. The plot should be contained exactly in the perimeter of the window and the rain drops should be represented as solid blue lines that connect the corresponding start and end nodes

ANY IDEA HOW TO SOLVE THIS ONE???

Ameer Hamza 2020-4-10

Romario, please start a new question, since it is entirely different from your original question. Also, for such a homework question. It is a better idea to show us some code that you have tried and ask a specific question related to MATLAB.

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