Which of the following sequences are not geometric?Check all that apply.A.1, 1, 2, 3, 5, 8, 13, 21B.2, 10, 50, 250, 1250C.-4, -2, -1, -0.5, -0.25, -0.125D.1, 4, 9, 16, 25, 36SUBMITarrow_backPREVIOUS
Question
Which of the following sequences are not geometric?Check all that apply.A.1, 1, 2, 3, 5, 8, 13, 21B.2, 10, 50, 250, 1250C.-4, -2, -1, -0.5, -0.25, -0.125D.1, 4, 9, 16, 25, 36SUBMITarrow_backPREVIOUS
Solution
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the ratio.
Let's check each sequence:
A. 1, 1, 2, 3, 5, 8, 13, 21 The ratio is not constant (1/1 ≠ 2/1 ≠ 3/2 ≠ 5/3 ≠ 8/5 ≠ 13/8 ≠ 21/13), so this sequence is not geometric.
B. 2, 10, 50, 250, 1250 The ratio is constant (10/2 = 50/10 = 250/50 = 1250/250 = 5), so this sequence is geometric.
C. -4, -2, -1, -0.5, -0.25, -0.125 The ratio is constant (-2/-4 = -1/-2 = -0.5/-1 = -0.25/-0.5 = -0.125/-0.25 = 2), so this sequence is geometric.
D. 1, 4, 9, 16, 25, 36 The ratio is not constant (4/1 ≠ 9/4 ≠ 16/9 ≠ 25/16 ≠ 36/25), so this sequence is not geometric.
So, the sequences that are not geometric are A and D.
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