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Identify the Sequence 2 , 4 , 8 , 16. 2 2 , 4 4 , 8 8 , 16 16. This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 2 gives the next term. In other words, an = a1rn−1 a n = a 1 r n - 1. Geometric Sequence: r = 2 r = 2.
Free sequence calculator - step-by-step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types.
1 maj 2016 · The question is in the "...". Any finite number of terms does not determine an infinite sequence. For example we can match the sequence 2, 4, 8, 16 with a cubic polynomial: a_n = 1/3 (n^3-3n^2+8n) Then we would find that the next terms would be 30, 52, 84,...
Solution. The correct option is C Geometric sequence. The sequence follows: 1, 2, 4, 8, ... Each term is multiplied with 2 to get the succeeding term. 1 × 2 = 2. 2 × 2 = 4. 4 × 2 = 8. 8 × 2 = 16. It is a geometric sequence.
Find the common difference for an arithmetic sequence. Write terms of an arithmetic sequence. Use a recursive formula for an arithmetic sequence. Use an explicit formula for an arithmetic sequence.
Key Questions. What is an arithmetic sequence? An arithmetic sequence is a sequence (list of numbers) that has a common difference (a positive or negative constant) between the consecutive terms. Here are some examples of arithmetic sequences: 1.)7, 14, 21, 28 because Common difference is 7.
Here you will learn what an arithmetic sequence is, how to continue an arithmetic sequence and how to generate an arithmetic sequence. Students will first learn about arithmetic sequences as part of algebra in high school.