Geometric Sequences & Series [IB Math AA SL/HL]

This podcast introduces geometric sequences and series, defining a geometric sequence as a series of numbers with a common ratio between terms. The speaker provides examples of sequences with positive, negative, fractional, and negative fractional common ratios, explaining how to identify them. The episode then details how to use IB formulas to find any term in a geometric sequence and the sum of a finite number of terms. Finally, it explains the concept of the sum of an infinite geometric sequence, applicable when the absolute value of the common ratio is less than one, causing terms to become increasingly smaller and less significant.