An infinite series is a sum of an infinite number of terms. Of course, the indexing can start at any integer, but by the most common starting indices are 0 0 and 1 1 . Regarding the second summation notation, of course there is no "infinity-th" term, as infinity is an not an integer; however, the notation is a convenient way for us to say that we take the summation over all natural numbers. ... See more at expii.
This activity is designed to help your Pre-Calculus Honors or College Algebra students evaluate sequences and series in an end-unit review for Discrete Mathematics. There are 24 task cards in the activity. Students will find recursive and explicit forms of sequences, find the sum of finite and infinite series, determine convergent and divergent series, find nth terms, partial sums, P(K+1) term for induction proofs, and more.