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Tutorial Exercise Write an expression that gives the requested term. The 14th term of the geometric sequence with first term 5 and common ratio 9132/121 Step 1 A geometric sequence is a sequence of numbers in which each successive term of the sequence is the same ca of the preceding term. The common multiple is called the common ratio of the sequence. For example, in the sequence 1, 2, 4, 8, ..., notice how each term is 2 times the preceding term. This an exam geometric sequence where 1 is the first term, 2 is the second term, 4 is the third term, 8 is the fourth term, ar ratio is 2. We can find all subsequent terms by simply multiplying by 2, but it would become tedious to figure c 100th term in this way. Luckily there is a short cut formula below that we can use to find the nth term of a geometric sequence, where term of the sequence and r is the common ratio. an=₁-1 In the problem at hand, we start by determining n. We are asked to find the 14th term of the geometric seque n = We are told that the first term of the geometric series is 5, thus a₁ = 3 common ratio of the geometric series is thus r =

Tutorial Exercise Write an expression that gives the requested term. The 14th term of the geometric sequence with first term 5 and common ratio 9132/121 Step 1 A geometric sequence is a sequence of numbers in which each successive term of the sequence is the same ca of the preceding term. The common multiple is called the common ratio of the sequence. For example, in the sequence 1, 2, 4, 8, ..., notice how each term is 2 times the preceding term. This an exam geometric sequence where 1 is the first term, 2 is the second term, 4 is the third term, 8 is the fourth term, ar ratio is 2. We can find all subsequent terms by simply multiplying by 2, but it would become tedious to figure c 100th term in this way. Luckily there is a short cut formula below that we can use to find the nth term of a geometric sequence, where term of the sequence and r is the common ratio. an=₁-1 In the problem at hand, we start by determining n. We are asked to find the 14th term of the geometric seque n = We are told that the first term of the geometric series is 5, thus a₁ = 3 common ratio of the geometric series is thus r =

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 102E
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Tutorial Exercise Write an expression that gives the requested term. The 14th term of the geometric sequence with first term 5 and common ratio 23/3/13 Step 1 A geometric sequence is a sequence of numbers in which each successive term of the sequence is the same constant multiple of the preceding term. The common multiple is called the common ratio of the sequence. For example, in the sequence 1, 2, 4, 8, ..., notice how each term is 2 times the preceding term. This an example of a geometric sequence where 1 is the first term, 2 is the second term, 4 is the third term, 8 is the fourth term, and the common ratio is 2. We can find all subsequent terms by simply multiplying by 2, but it would become tedious to figure out, say, the 100th term in this way. Luckily there is a short cut formula below that we can use to find the nth term of a geometric sequence, where a, is the first term of the sequence and r is the common ratio. an=a₁-1 In the problem at hand, we start by determining n. We are asked to find the 14th term of the geometric sequence, thus n = We are told that the first term of the geometric series is 5, thus a₁ = We are told that the common ratio of the geometric series is Submit Skip (you cannot come back) 3/1₁ thus r =
Transcribed Image Text:Tutorial Exercise Write an expression that gives the requested term. The 14th term of the geometric sequence with first term 5 and common ratio 23/3/13 Step 1 A geometric sequence is a sequence of numbers in which each successive term of the sequence is the same constant multiple of the preceding term. The common multiple is called the common ratio of the sequence. For example, in the sequence 1, 2, 4, 8, ..., notice how each term is 2 times the preceding term. This an example of a geometric sequence where 1 is the first term, 2 is the second term, 4 is the third term, 8 is the fourth term, and the common ratio is 2. We can find all subsequent terms by simply multiplying by 2, but it would become tedious to figure out, say, the 100th term in this way. Luckily there is a short cut formula below that we can use to find the nth term of a geometric sequence, where a, is the first term of the sequence and r is the common ratio. an=a₁-1 In the problem at hand, we start by determining n. We are asked to find the 14th term of the geometric sequence, thus n = We are told that the first term of the geometric series is 5, thus a₁ = We are told that the common ratio of the geometric series is Submit Skip (you cannot come back) 3/1₁ thus r =
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