Question

this triangular arrangement, known as pascals triangle, generates numbers based on a pattern. fill in the missing numbers. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 _ _ _ _ _ _ 1 a. 2,3,4,5,6,7 b. 8,21,35,21,20,8 c. 7,20,35,35,20,7 d. 7,21,35,35,21,7

Explanation:

Step1: Recall Pascal's triangle rule

In Pascal's triangle, each number is the sum of the two numbers directly above it.

Step2: Calculate first missing number

The first missing number is the sum of 1 and 6 from the row above, so $1 + 6=7$.

Step3: Calculate second missing number

The second missing number is the sum of 6 and 15 from the row above, so $6+15 = 21$.

Step4: Calculate third missing number

The third missing number is the sum of 15 and 20 from the row above, so $15 + 20=35$.

Step5: Calculate fourth missing number

The fourth missing number is the sum of 20 and 15 from the row above, so $20+15 = 35$.

Step6: Calculate fifth missing number

The fifth missing number is the sum of 15 and 6 from the row above, so $15+6 = 21$.

Step7: Calculate sixth missing number

The sixth missing number is the sum of 6 and 1 from the row above, so $6 + 1=7$.

Answer:

D. 7, 21, 35, 35, 21, 7