Question

1. Write an algorithm to calculate the sum of the following series:

          Sum =x-x³/3! + x⁵/5! – x⁷/7! +…….     Stop when the term<0.0001.

very quick please.

Answer 1

Algorithm

factorial(n){ //factorial method
if(n==1)
return 1;
return n*factorial(n-1);
}

-----------------------------------

start

Read Sum=0, i=1, term,d,x=2;
   while(true){
   term=pow(x,i)/factorial(i);
   d=round(term*100000)/100000;
   if(d<0.0001)
   break;
   if(i%2==0)
   Sum=Sum+d;
   else
   Sum=Sum-d;
   i+=2;
   }
       print(Sum);

stop