Find the next number in the given series.10, 68, 222, 520, 1010,______

The given series is: 10, 68, 222, 520, 1010

To find the next number in the series, we need to identify the pattern or rule that the series follows.

Let's look at the differences between consecutive numbers:

68 - 10 = 58 222 - 68 = 154 520 - 222 = 298 1010 - 520 = 490

The differences between the numbers are not constant, so this is not an arithmetic sequence.

Let's look at the differences of the differences:

154 - 58 = 96 298 - 154 = 144 490 - 298 = 192

Now we see a pattern: the differences of the differences are increasing by 48 each time.

So, if we continue this pattern, the next difference of the differences should be 192 + 48 = 240.

Adding this to the last difference (490), we get 490 + 240 = 730.

Finally, adding this to the last number in the original series (1010), we get 1010 + 730 = 1740.

So, the next number in the series should be 1740.