![]() ![]() The Sigma Notation The Greek capital sigma, written S, is usually used to represent the sum of a sequence. For a geometric sequence with first term u1 and common ratio r, the nth. Pure Maths Algebra Series The series of a sequence is the sum of the sequence to a certain number of terms. We will use the lowercase r to represent our common ratio. Often, the rule is a formula for the general term or nth term of the sequence. A geometric sequence, which is also called a geometric progression, is a sequence where each term after the first is obtained by multiplying the preceding term by a fixed nonzero real number known as the common ratio (r). Simply insert the values of a, r and n in this formula and evaluate the resulting expression to get the nth term. You use n in the general formula of a geometric sequence and replace it with a number when you want to find the term in a certain position. ![]() ![]() In this lesson, we will learn about geometric sequences and series. Question: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequence with the given first. Saying 'the nth term' means you can calculate the value in position n, allowing you to find any number in the sequence. Now, the general formula for the th term of a geometric sequence is that the th term is equal to the first term times the common ratio to the power of. ![]()
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