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Since the sides of the rectangles are in the same proportion (namely 1.618...), we get: Now, let's return to the Fibonacci Sequence. The ratio of consecutive terms forms a sequence itself. Suppose we know that this sequence converges to some real number (we can prove this in a lesson on geometric sequences).
Common ratio. The convergence of the geometric series with r=1/2 and a=1/2. The convergence of the geometric series with r=1/4 and a=1. The terms of a geometric series form a geometric progression, meaning that the ratio of successive terms in the series is constant. This relationship allows for the representation of a geometric series using only two terms, r and a. The term r is the common ratio, and a is the first term of the series.