When you are presented with a list of numbers, you may be told that the list is an arithmetic sequence, or you. The recursive formula for a sequence allows you to find the value of the n th term in the sequence if you know the value of the (n-1) th term in the sequence.Ī sequence is an ordered list of numbers or objects. 1.Find the common difference for the sequence. and are often referred to as positive integers. The natural numbers are the numbers in the list 1, 2, 3. The natural numbers are the counting numbers and consist of all positive, whole numbers. b 2 b -13 This problem has been solved Youll get a detailed solution from a subject matter expert that helps you learn core concepts. The index of a term in a sequence is the term’s “place” in the sequence. Find the explicit formula for the arithmetic sequence bn given the information below. Geometric sequences are also known as geometric progressions. Question: Question 7 Find the explicit formula for the arithmetic sequence tn given the information below. For example in the sequence 2, 6, 18, 54., the common ratio is 3.Įxplicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms.Ī geometric sequence is a sequence with a constant ratio between successive terms. This problem has been solved Youll get a detailed solution from a subject matter expert that helps you learn core concepts. For example: In the sequence 5, 8, 11, 14., the common difference is "3".Įvery geometric sequence has a common ratio, or a constant ratio between consecutive terms. Arithmetic sequences are also known are arithmetic progressions.Įvery arithmetic sequence has a common or constant difference between consecutive terms. \)Īn arithmetic sequence has a common difference between each two consecutive terms.
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