Can you solve this? explian your reasoning. 2 6 3 9 6 18 15. What number comes next?

The number of the sequence are 2, 3, 6, 15

The difference between 2 and 3 is 1 i.e. 30.

The difference between 3 and 6 is 3 i.e. 31.

The difference between 6 and 15 is 9 i.e. 32.

Let the next number in the given sequence be some natural number x.

Now, following the pattern, the difference between 15 and x has to be equal to 33=27.

i.e.

x−15=27⟹x=27+15=42

Hence

The next number in the sequence is 42.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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