Question

The elements in the fifth row of Pascal triangle is

A) 1, 5, 10, 10, 5, 1
B) 1, 6, 15, 20, 15, 6, 1
C) 1, 4, 6, 4, 1
D) 1, 7, 21, 35, 35, 21, 7, 1

Answer 1

The elements in the fifth row of Pascal's triangle are 1, 7, 21, 35, 35, 21, 7, 1.

Step-by-step explanation:

The elements in the fifth row of Pascal's triangle are represented by option D: 1, 7, 21, 35, 35, 21, 7, 1.

To generate Pascal's triangle, the first row is always 1. Each subsequent row is generated by adding the two adjacent numbers from the previous row. For example, the second row is 1 + 1 = 2. The third row is 1 + 2 + 1 = 4. This pattern continues until we reach the fifth row, which is 1, 4, 6, 4, 1. The fifth row elements in option D match this pattern.