# TouchDevelop homwork

Write a mobile app (using TouchDevelop) that calculates

the sum (which computes e×) of n + 1 terms as

sum =  1 +  x/ 1!   + /2!  + / 3! +  /4!  + …

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Values x and n should be read (prompted to enter). Calculate each sequential term base on the previous one to get the best calculation performance (so, the next one = the previous term * (x / i) where i the current control variable – index). Don’t use the math function. Use only one loop. The output should be in the table format as follows (remember to use the reverse wall order shown in class):

x = ?, n = ?

iteration #   termValue  sum

Example:

x = 1,  n = 2

iteration #   termValue  sum

1                     1                 2

2                     0.5              2.5

e× = 2.71828…, where x = 1

Each row corresponds to values in each iteration except the last row which should give the final result in the text box (see p.38 ch3 of our text  and also the last exercise in class). A very last line of the output should give the return value of  from the formula exp(x : Number) : Number (see p.186 of our text).

Test for x = 1, n = 5 and n = 10 – the expected result should be better for n = 10 and you will expect the sum around 2.71828…. Next test for  x = 2, n = 5, and n = 10.

Create a 2nd loop the sum s until the sequential term is less than accuracy. Prompt for the accuracy value. Test for accuracy 0.01, 0.001 and 0.0001. Provide a flowchart.

screenshots of at least four (4) sets of sample inputs (test cases). This time a flowchart is treated.

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