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Define the Syntax of FOR Loop?
The universal form of this statement is
for(initialization;condition;increment/decrement)
{
statements;
}
The Initialization refers to the assignment of control variable and the control variable is any variable that is used in the for loop. The condition is a logical or relational expression for testing the value of control variable. If the condition is true, then the body of the loop will get executed, otherwise the control will come to the statement that immediately follows the loop. formerly the loop gets executed the control is transferred back to the statement after evaluating the last statement in the loop. The control variable is then decremented or incremented and the new value of the variable is tested to see whether the condition is satisfied. Every expression should be seperated using semicolon.
For illustration
for(i=0;i<=10;i++)
sum=sum+i;
The expression 'for(;;) is as well valid, but this loop will execute infinite times. A Nested for loops are allowed in C programs.
For instance
for(i=0;i { for(j=0;j<=n;j++) { sum=sum+i; } } This can as well be written as for(i=0, j=0;i { sum=sum+i; }
for(j=0;j<=n;j++)
This can as well be written as
for(i=0, j=0;i { sum=sum+i; }
Example : Find the general solution to the subsequent differential equation. x 2 y′′ - 7 xy′ + 16 y= 0 Solution First the roots of (3) r (r -1) - 7r + 16= 0 r 2
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