Incorrect Number in the Series

The given series is 0, 1, 3, 8, 18, 35, 62.

We need to identify the wrong number in the series.

To do so, we need to find the pattern in the series.

Pattern in the Series

The difference between consecutive terms in the series is:

- 1 - 0 = 1
- 3 - 1 = 2
- 8 - 3 = 5
- 18 - 8 = 10
- 35 - 18 = 17
- 62 - 35 = 27

We can observe that the differences between consecutive terms are not constant, which means the series is not following a linear pattern.

Let's find the second differences between consecutive terms:

- 2 - 1 = 1
- 5 - 2 = 3
- 10 - 5 = 5
- 17 - 10 = 7
- 27 - 17 = 10

We can observe that the second differences between consecutive terms are constant and equal to 2.

Therefore, the pattern in the series can be represented by the following quadratic equation:

f(n) = an^2 + bn + c

where a = 2, b = -1, and c = 0 (since the first term is 0).

Using this equation, we can find the next term in the series:

f(7) = 2(7)^2 - 1(7) + 0 = 95

Therefore, the next term in the series should be 95.

Identifying the Incorrect Number

Now, let's compare the next term in the series (95) with the given series:

0, 1, 3, 8, 18, 35, 62

We can observe that the next term in the series (95) is not equal to any term in the given series.

Therefore, the incorrect number in the series is 62.

Conclusion

The incorrect number in the given series is 62.