Count Forwards And Backwards In Steps Of Power 9 - Reasoning

The task at hand involves understanding the pattern of numbers when counting forwards and backwards in steps of 100 from a starting point of 153,282. Esin will only say numbers that are increments of 100 from this starting number. Therefore, the correct numbers to be shaded are those that differ from 153,282 by a multiple of 100. The chosen number must end in the digits '82' to be in line with the counting pattern established by Esin's starting point. This specific ending ensures that the numbers are indeed 100s apart from the starting number and from each other when counting sequentially.

As for the numbers that Esin will not say, these are the ones that do not conform to the pattern of ending in '82' or are not exact multiples of 100 away from 153,282. These non-conforming numbers will be excluded from Esin's counting sequence because they break the established pattern of steps. By understanding the rule of counting in increments of 100 and ensuring the last two digits remain constant as '82', one can determine which numbers will be said by Esin and which will not, thereby identifying the correct boxes to shade and the numbers to exclude from the sequence.