Sequences and Series.

10 lessons92 min3 simulations

This chapter treats a sequence as an ordered list of numbers, given by a formula for the nth term, by a recurrence or by a description, and a series as the sum of its terms, written with sigma notation. Most of the chapter is on geometric progressions: the common ratio, the nth term arⁿ⁻¹, the sum of n terms, problems on growth and decay, the geometric mean and inserting numbers between two given ones, and finally the inequality between the arithmetic and geometric means, A ≥ G.

Also called: AP and GP · arithmetic progression · geometric progression