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5, 11, 28, 53, ___, 175, 296.Options89123126152

Question

5, 11, 28, 53, ___, 175, 296.Options89123126152

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Solution

The pattern in the sequence appears to be adding an increasing multiple of 6 to each number.

Starting from 5: 5 + 6 = 11 11 + 17 = 28 28 + 25 = 53

If we continue this pattern: 53 + 33 = 86 86 + 41 = 127 127 + 49 = 176 176 + 57 = 233

However, none of these numbers match the options given.

Let's try a different approach.

If we look at the differences between each pair of numbers: 11 - 5 = 6 28 - 11 = 17 53 - 28 = 25

The differences are increasing by multiples of 11.

If we continue this pattern: 25 + 11 = 36 53 + 36 = 89

So, the missing number in the sequence is 89.

This problem has been solved

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