Lesson: Sum of a Finite Geometric Sequence Glencoe • Algebra 2 • enVision • Algebra 2 • Common Core • Prentice Hall • Algebra 2 • Common Core • Glencoe • Algebra 2 • Common Core • Glencoe • Precalculus • Common CoreMathematics
In this lesson, we will learn how to calculate the sum of the terms in a geometric sequence with a definite number of terms.
Sample Question Videos
The sum of the terms of a sequence is called a series.
A geometric series is the sum of a geometric sequence; a geometric series with terms can be written as where is the first term and is the common ratio (the number you multiply one term by to get the next term in the sequence, ).
Find the sum of the first 6 terms of a geometric series with and .
A geometric series has a first term of 3 and a common ratio of 5. Find the sum of the first 6 terms.
Find, to two decimal places, the sum of the following geometric series: