Find the next number in the given series.10, 68, 222, 520, 1010,______Options13421740134015401716

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

To find the pattern, let's look at the differences between consecutive numbers:

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

The differences don't form a consistent pattern, so let's look at the second differences (the differences between the differences):

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

Now we see a pattern: the second differences are increasing by 48 each time. If we continue this pattern, the next second difference should be 192 + 48 = 240.

So, the next difference should be 490 (the previous difference) + 240 (the next second difference) = 730.

Finally, the next number in the series should be 1010 (the last number in the series) + 730 (the next difference) = 1740.

So, the next number in the series is 1740.