Direction: Find the wrong number in the following series 6, 16, 40, 108, 274, 690Options62741669040

The given series is 6, 16, 40, 108, 274, 690.

This appears to be a series where each number is multiplied by a certain factor to get the next number.

Let's try to find the pattern:

16/6 = 2.67 (approximately) 40/16 = 2.5 108/40 = 2.7 274/108 = 2.54 (approximately) 690/274 = 2.52 (approximately)

The multiplication factor seems to be fluctuating around 2.5 - 2.7.

However, if we look closely, we can see that the exact multiplication factor between consecutive numbers is not consistent.

So, let's try another approach.

If we look at the series, we can see that the difference between consecutive numbers is increasing.

Let's calculate the differences:

16 - 6 = 10 40 - 16 = 24 108 - 40 = 68 274 - 108 = 166 690 - 274 = 416

The differences between the numbers are not consistent either.

So, let's try to find a pattern in these differences:

24 - 10 = 14 68 - 24 = 44 166 - 68 = 98 416 - 166 = 250

Now, we can see a pattern. The differences between the differences are multiples of 14 (14, 44, 98, 250).

So, the next difference should have been 250 + 14 = 264.

But, 690 - 274 = 416, which is not equal to 264.

So, the wrong number in the series is 690.