(the sequence consists only from positive number so the sum is not negative)
in order to prove that its convergent i need to prove monotonicity and boundedness
so i guess its increasing
suppose n=k is true:
prove n=k+1 ( )
i proved the opposite
so this is weird.
the answer in the book tells me to split the sequence into odd /even sub sequences
the one is ascending and the other its descending.
i cant see how many sub sequences i need to split it to
maybe its 5 or 10
what is the general way of solving it.
and how you explained that i proved the opposite