please help advanced math Design an algorithm to compute and output the sum of the numbers in the

sequence $A(1),A(2),$dots,$A(n)$ of $n$ real numbers where $n$ is a positive integer.

Write the algorithm in pseudocode.

Write an algorithm in pseudocode to compute and output the sum of the

squares of the first $n$ positive integers.

For the following algorithms given in pseudocode, describe what each

algorithm does.

a$.$ Begin

$S$:$=0$

For $k=1tondo$

$q,S$:$=S+\frac{1}{k}$

Output $S$

End

b$.$ Let $n$ be a positive integer and let $A(1),A(2),$dots,$A(n)$ be $n$ real

numbers.

Begin

$P$:$=1$

$k$:$=0$

While $k$:$=k+1$ and $P$:$=P*A(k)PJ$:$=2A$:$=3A=3J$:$=7A$:$=7J$:$=2A$:$=5k=1A$:$=A+1kdo$

$k$:$=k+1$ and $P$:$=P*A(k)$

End

Output $P$

End

Determine the value $of$ each given variable after the given control

statement $is$ executed.

$a.J$:$=2$ and $A$:$=3$

$If(not(J=5)$ and $A=3)$ then

$J$:$=7$

else

$A$:$=7$

$b.J$:$=2$ and $A$:$=5$

For $k=1to7do$

$A$:$=A+1$