)what is the difference between a sequence and a series? a sequence is an ordered list of numbers whereas a series is an unordered list of numbers. a series is an ordered list of numbers whereas a sequence is the sum of a list of numbers. a sequence is an unordered list of numbers whereas a series is the sum of a list of numbers. a series is an unordered list of numbers whereas a sequence is the sum of a list of numbers. a sequence is an ordered list of numbers whereas a series is the sum of a list of numbers. (b) what is a convergent series? what is a divergent series? a series is divergent if the nth term converges to zero. a series is convergent if it is not divergent. a series is divergent if the sequence of partial sums is a convergent sequence. a series is convergent if it is not divergent. a series is convergent if the sequence of partial sums is a convergent sequence. a series is divergent if it is not convergent. a series is convergent if the nth term converges to zero. a series is divergent if it is not convergent. a convergent series is a series for which lim n → ∞ an exists. a series is convergent if it is not divergent.