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Precalculus. Identify the Sequence 1 , 2 , 4 , 8 , 16. 1 1 , 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.
Free sequence calculator - step-by-step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types.
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11 Φεβ 2017 · Explanation: We have a sequence of numbers: 1,2,4,8,16,... Is it arithmetic? An arithmetic sequence will have the same difference between any two consecutive numbers. Let's see if we have that here: ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜⎝ higher consecutive lower consecutive difference 2 1 1 4 2 2 8 4 4 ⋮ ⋮ ⋮ ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟⎠. And so no - this is not arithmetic.
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.
A Sequence is a set of things (usually numbers) that are in order. Geometric Sequences. In a Geometric Sequence each term is found by multiplying the previous term by a constant. Example: 1, 2, 4, 8, 16, 32, 64, 128, 256, ... This sequence has a factor of 2 between each number.
1 Μαΐ 2016 · 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,...#
