Question

the triangular arrangement of numbers shown below is known as pascals triangle, credited to french mathematician blaise pascal (1623 - 1662). use inductive reasoning to find the 6 missing numbers. (type whole numbers.)

Explanation:

Step1: Identify Pascal's triangle rule

Each number (except 1s on edges) is sum of two above - it.

Step2: First missing number

Sum of two 1s above, so 1 + 4=5.

Step3: Second missing number

Sum of 4 and 6, so 4 + 6 = 10.

Step4: Third missing number

Sum of 6 and 4, so 6+4 = 10.

Step5: Fourth missing number

Sum of 4 and 1, so 4 + 1=5.

Step6: Fifth and sixth missing numbers

Edges are 1s.

Answer:

1, 5, 10, 10, 5, 1