A rare bacterial culture is being grown in a lab. As time passes, the cells multiply in a specific pattern.After 1 day, there is only 1 cell.After 2 days, there are 8 cells.After 3 days, there are 18 cells.After 4 days, there are 31 cells.How many cells will there be after seven days? A:66 B:88*** C:110 D:113
Is it 88?
you are correct
To determine the number of cells after seven days, we need to observe the pattern of cell growth. From the given information, we can see that the number of cells is not simply doubling each day.
After one day, there is 1 cell.
After two days, there are 8 cells (1 + 7 additional cells).
After three days, there are 18 cells (8 + 10 additional cells).
After four days, there are 31 cells (18 + 13 additional cells).
To find the number of additional cells each day, we can subtract the number of cells on consecutive days.
From day one to day two: 8 - 1 = 7 additional cells.
From day two to day three: 18 - 8 = 10 additional cells.
From day three to day four: 31 - 18 = 13 additional cells.
Looking at the differences in additional cells, we can see that they are increasing by 3 each day.
From day four to day five: 31 + 16 = 47 cells (31 + 13 additional cells).
From day five to day six: 47 + 19 = 66 cells (47 + 16 additional cells).
From day six to day seven: 66 + 22 = 88 cells (66 + 19 additional cells).
Therefore, the correct answer is B: 88 cells.
To find the pattern in cell multiplication, we can observe the differences between consecutive days:
- From Day 1 to Day 2: 8 - 1 = 7 cells added
- From Day 2 to Day 3: 18 - 8 = 10 cells added
- From Day 3 to Day 4: 31 - 18 = 13 cells added
We notice that the differences between consecutive days are increasing by 3 each time.
Using this pattern, we can continue to find the differences:
- From Day 4 to Day 5: 31 + 13 + 3 = 47 cells
- From Day 5 to Day 6: 47 + 16 + 3 = 66 cells
- From Day 6 to Day 7: 66 + 19 + 3 = 88 cells
Therefore, the correct answer is B: 88 cells.