Step 1st: 1 Box
Step 2nd: 3 Boxes
Step 3rd: 6 Boxes
How many boxes in the 354th version?
How many in the nth version?
looks like the nth step has n(n+1)/2 boxes.
what's 354*355/2?
dunno nothin' 'bout no versions.
To determine the number of boxes in the 354th version, we need to identify the pattern in the given sequence.
From the given information, it appears that the pattern is increasing by 2 boxes each step. In other words, for each step, the number of boxes is 1 more than the previous step.
Using this pattern, we can calculate the number of boxes in the 354th version:
Number of boxes in the 1st step = 1 box
Number of boxes in the 2nd step = 1 + 2 = 3 boxes
Number of boxes in the 3rd step = 3 + 2 = 5 boxes
Number of boxes in the 4th step = 5 + 2 = 7 boxes
Based on this pattern, we can see that the number of boxes in each step follows the formula:
Number of boxes = (Step number - 1) * 2 + 1
So, to find the number of boxes in the 354th step:
Number of boxes in the 354th step = (354 - 1) * 2 + 1
= 353 * 2 + 1
= 706 + 1
= 707 boxes
Therefore, there are 707 boxes in the 354th step.
To determine the number of boxes in the nth version, we can use the same formula:
Number of boxes = (n - 1) * 2 + 1
This formula allows us to calculate the number of boxes for any given step number n. So, you can substitute any desired value for n in the formula to find the corresponding number of boxes.