In the following number series a wrong number is given. Find the wrong number 1, 3, 10, 21, 64, 129, 356, 777

To find the wrong number in the given series, we need to identify the pattern or rule that governs the sequence. Let's analyze the series step by step:

1, 3, 10, 21, 64, 129, 356, 777

Looking at the series, we can observe that each number is obtained by multiplying the previous number by a certain factor and then adding a constant value.

Let's calculate the differences between consecutive terms:

3 - 1 = 2 10 - 3 = 7 21 - 10 = 11 64 - 21 = 43 129 - 64 = 65 356 - 129 = 227 777 - 356 = 421

The differences between consecutive terms are not following a consistent pattern. Therefore, it seems that the series does not have a simple arithmetic or geometric progression.

To further analyze the series, let's calculate the differences between the differences:

7 - 2 = 5 11 - 7 = 4 43 - 11 = 32 65 - 43 = 22 227 - 65 = 162 421 - 227 = 194

Again, the differences between the differences are not following a consistent pattern.

Based on this analysis, it appears that there is no clear pattern or rule governing the series. Therefore, it is difficult to determine the exact wrong number in the given series. It is possible that there may be an error in the series itself or some other pattern that is not immediately apparent.

To provide a more accurate answer, additional information or clarification may be required.