Partial solutions: The following solutions are not complete Java programs. They are kept brief to illustrate the main ideas of the complete programs.
Problem 1:
double power=1, fact=1, sum=0;
int k=-1;
for(int i=1; i<10; i++)
{
power=power*x;
fact=fact*i;
if(i%2==1)
{ k=k*(-1);
sum+=k*power/fact;
}
}
Problem 2:
int evenSum=oddSum=0;
for(i=1; i<=25; i++)
{
if(i%2==0)
evenSum=evenSum+i;
else
oddSum+=i;
}
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