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The Next Number in the Series 7 9 13 29 is:

The Next Number in the Series 7 9 13 29 is:

29 + 16^2 = 29 + 256 = 285

the differences between the numbers in the sequence is always the square of the previous difference.

noticed this by looking at the sequence of differences: 2, 4, 16, so it would make sense for the next number in the difference sequence to be 256.

there maybe other less obvious solutions…

or

So 7 happens to be the first number and 2 the initial increment. Add the increment to the number to get the next number, so the next number is 9. Square the increment to get the next increment. So the next increment is 4.

So we have the number 9 and the increment 4. Add the increment to the number to get the next number. So the next number is13. Square the increment to get the next increment. So the next increment is 16.

So we have the number 13 and the increment 16. Add the number to the increment to get the next number, which ends up being 29. Square the increment to get the next increment. So the next increment is 256.

Add the increment to the number to get the next number, which is 285.

Want to keep going? Square 256 and add it to 285…

Check with options both are there but whichever option that you is correct