Answer:1 9 24 38 46 38 23 9 1
Explanation:
Given row: 1 8 15 23 23 15 8 1
To find the next row, we consider the first number as 1 (since Pascal's triangle always starts and ends with 1).
Next number in the row = Sum of adjacent numbers in the given row.
Next number = 1 + 8 = 9
Continuing this pattern, we find the next numbers in the row:
9 + 15 = 24
15 + 23 = 38
23 + 23 = 46
23 + 15 = 38
15 + 8 = 23
8 + 1 = 9
So, the next row of Pascal's triangle would be:
1 9 24 38 46 38 23 9 1
Each number in the next row is the sum of the adjacent numbers in the given row, including the assumed 1 at the beginning and end of each row.
Therefore, the next row would be: 1 9 24 38 46 38 23 9 1.