Problem $1$:

Design an algorithm$/$flowchart using Raptor that displays the product of first $n$ natural

numbers. Use $n$ as an input variable.

Hint: Product of first $n$ natural number $=1234$dotsdotsdots$(n-1)n$

Note: Product of first $n$ numbers is known as factorial and expressed as $n!.$ You need this

knowledge to solve problem $3.$

Test your code using $n=7.$

Submit raptor files along with your report. Your report should include the screenshot of your

flowchart including sample input and output.

Problem $2$:

Design an algorithm$/$flowchart using Raptor to compute the following sum. Use $x$ and $n$ as input

variables.

$1+x+x^2+x^3+$dotsdots$+..+x^{n-1}+x^n$

Test your code using, $x=3,n=5.$

Submit raptor files along with your report. Your report should include the screenshot of your

flowchart including sample input and output.

Problem $3$:

Design an algorithm$/$flowchart using Raptor to compute the following sum. Use $x$ and $n$ as input

variables.

$1+\frac{x}{1!}+\frac{x^2}{2!}+\frac{x^3}{3!}+$dotsdots$+\frac{x^{n-1}}{(n-1)!}+\frac{x^n}{n!}$

Here, $n!$ represents factorial $n$ i$.$e$.,$ the product of first $n$ natural number.

Hence, $n123$dots$(n-1)n$

please answer the four problems with actual raptor flowcharts not programs and provide photos of the flowcharts