So we have differential (smooth) and continuous plot for the exponential growth. The exponent of exponential growth is real number. Hence if you plot the sequence you get step-function kind of discrete plot with sudden jumps. The exponent in geometric sequence formula is always integer. ![]() Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Geometric and exponential growth are different. The sequence is indeed a geometric progression where a1 3 and r 2. They have important applications in physics, engineering, biology, economics, computer science, queueing theory, and finance. Geometric series are used throughout mathematics. Geometric series played an important role in the early development of calculus, and continue as a central part of the study of the convergence of series. If a sequence is geometric there are ways to find the sum of the first n terms, denoted Sn, without actually adding all of the terms.
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