how to write a program to compute those

1.Write a Matlab program to compute the following:
 1.1)  B=1+2+3+5+8+13+-------------(stop the program when B>100)
 1.2)  B=1/1! + 1/2! + 1/3! + 1/5! + 1/8! +----------(stop the program when B>1.67)

[ANKUR KUMAR]

Come up with some trail codes. We will surely push you to get on the desired result.

[Jan]

There is an infinite number of different sequences starting with: 1,2,3,5,8,13, ... As usual for homework questions: Please post, what you have tried so far and ask a specific question.

[Image Analyst]

And for 1.2, C does not depend on, or change B, so it will never stop.

[Roger Stafford]

The person devising this homework almost certainly has the Fibonacci numbers in mind but starting with 1 and 2.

[Image Analyst]

OK, I see you changed 1.2 to refer to B now instead of C so now it makes sense to say you want to "stop the program when B>1.67". So how far have you come using the hint I gave you below in the answers section? It should be trivial after that. That was 2 hours ago - you should be done by now.

[Rena Berman]

(Answers Dev) Restored edit

Answer 1

[Image Analyst]

Regarding:

1.Write a Matlab program to compute the following:
 1.1)  B=1+2+3+5+8+13+-------------(stop the program when B>100)
 1.2)  B=1/1! + 1/2! + 1/3! + 1/5! + 1/8! +----------(stop the program when B>1.67)

Hint:

First make the series in an array vec = [1,2,3,4,.....]

vec = [1, 2]
for k = 3 : 10
  vec(k) = vec(......
end

Then use cumsum() or a for loop to sum it up.

For 1.2 use factorial and the dot divide operator ./

[Roger Stafford]

@Image Analyst: That's the wrong series! It should be the Fibonacci series except that it starts with 1 and 2. Try this for the second question:

   F1 = 1; F2 = 2;
   B = 1+1/2;
   while true
     T = F2+F1;
     F1 = F2;
     F2 = T;
     B = B+1/factorial(F2);
     if B > 1.67, break, end  
   end

[Image Analyst]

I recognized that but when I was trying to generate the vector [1,2,3,5,8,13,...]

vec = [1, 2]
for k = 3 : 10
  vec(k) = vec(k-1) + vec(k-2);
end
vec

We see

vec =
     1     2     3     5     8    13    21    34    55    89

Which is exactly the vector I was going for. Now the student merely needs to sum up that vector in a for loop, a while loop, or by using cumsum() to get B.

Don't you agree that this is a reasonable first step? Maybe not the way someone else would approach it but it is one way.

And for the second step (generating factorial terms), don't you think this is a reasonable first step:

vec2 = 1 ./ factorial(vec)

vec2 =
  Columns 1 through 8
            1          0.5      0.16667    0.0083333 .....

Which is again summed using a for loop, a while loop, or cumsum() depending on how you want to do it. Anyway those were the approached I thought of and I think they will give the correct answer (with a little more code).

Answer 2

[Nur]

[Nur]

this is the [Answers: 1.0323, 1.0323, 0.1180]

[Torsten]

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