200 logs are stacked in the following manner
LectureNotes said 200 logs are stacked in the following manner
Answer:
To visualize how 200 logs are stacked, we can break down the number of logs in each layer to understand the pattern.
If we consider the first layer as having 1 log, the second layer having 2 logs, the third layer having 3 logs, and so on, the pattern goes like this:
1 + 2 + 3 + 4 + …
To find out how many logs are in total when 200 logs are stacked, we need to find the triangular number that corresponds to 200.
The formula to find the nth triangular number is: n * (n + 1) / 2
By plugging in values, we can find the value of n:
n * (n + 1) / 2 = 200
By calculating, n is approximately 19.92, which means we would need to go to the 19th layer to reach nearly 200 logs.
Therefore, 200 logs are stacked in such a way that they form 19 layers.