Given the geometric sequence, determine the formula, Then determine the 6th term.Some of them are rather advanced and are in the calculus category, however. sequences I think that some others on geometric sequences showed up in the results. Given the formula for geometric sequence, determine the first two terms, and then the 5th term. 1 comment ( 26 votes) Upvote Skywalker94 12 years ago I did a search on sequences.What is the domain and range of the following sequence? What is r? We say geometric sequences have a common ratio. Geometric sequences are important to understanding geometric series.ĭetermine the nth term of a geometric sequence.ĭetermine the common ratio of a geometric sequence.ĭetermine the formula for a geometric sequence.Ī geometric sequence is a sequence that has the pattern of multiplying by a constant to determine the consecutive terms. Homework problems on geometric sequences often ask us to find the nth term of a sequence using a formula. Sequences whose rule is the multiplication of a constant are called geometric sequences, similar to arithmetic sequences that follow a rule of addition. The sequence of geometric series terms (without any of the additions) is. how to find the sum of a geometric seriesĪ list of numbers that follows a rule is called a sequence. In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.how to find the nth term in a geometric sequence Click here.Solution EXAMPLE 3 Determine the next term in the geometric sequence: 48, 24, 12, 6. Solution EXAMPLE 2 What is the next term in the geometric sequence 3, 15, 75, 375. How much money do you have in the bank after 3 years You invest 5000 for 20 years at 2 p.a. EXAMPLE 1 Find the next term in the geometric sequence: 4, 8, 16, 32. You leave the money in for 3 years, each year getting 5 interest per annum. Videos, worksheets, and activities to help Algebra students. Show Video Lesson Compounding Interest and other Geometric Sequence Word Problems Examples: Suppose you invest 1,000 in the bank. A series of free, online Intermediate Algebra Lessons or Algebra II lessons.
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