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Hi, Would you please solve this math? Is there any similarity in the following numerical patterns? Find the next number in each of the following patterns. a. 1, 1, 2, 3, 5, 8, 13, ....b. 4, 4, 5, 6, 8, 11, ...

Question

Hi, Would you please solve this math? Is there any similarity in the following numerical patterns? Find the next number in each of the following patterns. a. 1, 1, 2, 3, 5, 8, 13, ....b. 4, 4, 5, 6, 8, 11, ...

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Solution

Sure, I can help with that.

a. This is a Fibonacci sequence, where each number is the sum of the two preceding ones. So, the next number would be 8 + 13 = 21.

b. This sequence seems to be increasing by one more than the previous increase. The difference between the numbers is increasing by 1 each time (0, 1, 1, 2, 3, ...). So, the next difference should be 4, and 11 + 4 = 15. So, the next number should be 15.

This problem has been solved

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