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An example of a math pattern that ends with 3.28, but not the pattern (0.41, 0.82, 1.64, 3.28). Provide another pattern that ends with 3.28.

Thanks.

Answer :

The sequence you provided, 0.41, 0.82, 1.64, 3.28, exhibits a geometric pattern where each term is obtained by multiplying the previous term by 2. In other words, the common ratio between successive terms is 2.

Here's another pattern that also has 3.28 as the fourth term:

0.82, 1.64, 3.28, 6.56

This pattern follows the same rule of multiplying each term by 2, but it starts with 0.82 instead of 0.41.

You could also create other patterns with the same fourth term by using different starting values and common ratios. For example:

0.2, 0.4, 0.8, 1.6, 3.28 (common ratio 2, starting value 0.2)

1.27, 2.54, 5.08, 10.16, 3.28 (common ratio 0.64, starting value obtained by dividing 3.28 by the fourth power of 2)

The key takeaway is that any geometric sequence that has 3.28 as the fourth term must have a common ratio that, when multiplied by itself three times, results in 2.

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