![]() ![]() Still, got questions? No problem! Don’t hesitate to comment with any questions below or check out the video above. ![]() Personally, I recommend looking at the finite geometric sequence or the geometric infinite series posts next! Using examples, learn the geometric series formula and how to solve geometric series. We will use geometric series in the next chapter to write certain functions as polynomials with an infinite number of terms. See an example where a geometric series helps us describe a savings account balance. Looking to learn more about sequences? You’ve come to the right place! Check out these sequence resources and posts below. Define what a geometric series is and compare finite and infinite series. A geometric series is the sum of the first few terms of a geometric sequence. For the simplest case of the ratio equal to a constant, the terms are of the form. The more general case of the ratio a rational function of the summation index produces a series called a hypergeometric series. Think you are ready to try questions on your own? Check out similar practice questions and find the sum of each finite series below! Practice Questions:ġ) Find the sum of the first 15 terms of the following geometric sequence:Ģ) Find the finite sum of the first 12 terms of the following sequence and round to the nearest tenth:ģ) Find the sum of the first 18 successive term of the following geometric sequence and round to the nearest tenth:Ĥ) Find the sum of the first 12 consecutive terms of the following geometric sequence: A geometric series is a series for which the ratio of each two consecutive terms is a constant function of the summation index. Notice that each number is twice the value. Note! Does the above summation notation totally freak you out? Fear not! Learn more about how summation notation works here,what it means, and don’t be intimidated by these math symbols anymore! A finite geometric series is the sum of a sequence of numbers. ![]() Notice we get the same exact solution as we did in the previous example, mission accomplished! A geometric series sum(k)ak is a series for which the ratio of each two consecutive terms a(k+1)/ak is a constant function of the summation index k. ![]()
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