Answer: there are 125 penguins in the last row there is 125 rows and the last rows full
Explanation:
The number of penguins in each row follows a pattern where each row has one more penguin than the previous row. To find the total number of penguins, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. In this case, the first row has one penguin, and the last row has three penguins. Since the number of terms is equal to the number of rows, we can plug in the values to find the total number of penguins: Sn = (n/2)(a + l) S = (n/2)(1 + 3) 250 = (n/2)(4) 250 = 2n n = 125 So there are 125 rows in total. To find the number of penguins in the last row, we can plug in the values into the formula: l = a + (n - 1)d l = 1 + (125 - 1)1 l = 1 + 124 l = 125 Therefore, the last row has 125 penguins. As for whether the last row is full, since each row has one more penguin than the previous row, the last row is full with three penguins. To summarize: - There are 250 penguins in total. - There are 125 rows. - The last row has 125 penguins. - The last row is full. I hope this explanation helps!