_______________________n
Consider the summation SUM ( (1/i) - (1/(i+1)) )
____________________ i=1
Derive a formula for this sum in terms of n.
n
Hint: SUM ( A(i) - A(i+1) )
i=1
= (A(1)-A(2)) + (A(2)-A(3)) + ... + (A(n)-A(n+1)) (who cancels??)
_______________________n
Consider the summation SUM ( (1/i) - (1/(i+1)) )
____________________ i=1
Derive a formula for this sum in terms of n.
n
Hint: SUM ( A(i) - A(i+1) )
i=1
= (A(1)-A(2)) + (A(2)-A(3)) + ... + (A(n)-A(n+1)) (who cancels??)