Question

This triangular arrangement, known as Pascal's triangle, generates numbers based on a pattern. Fill in the missing numbers. Pascal's triangle Row 1: 1, Row 2: 1, 1. Row 3: 1, 2, 1. Row 4: 1, 3, 3, 1. Row 5: 1, 4, 6, 4, 1. Row 6: 1, 5, 10, 10, 5, 1. Row 6: 1, 6, 15, 20, 15, 6, 1. Row 7: 1, blank, blank, blank, blank, blank, blank, 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

Answer 1

Answer: D.) 7, 21, 35, 35, 21, 7

Explanation:

For pascal triangle :

Row 1: 1,

Row 2: 1, 1.

Row 3: 1, 2, 1.

Row 4: 1, 3, 3, 1.

Row 5: 1, 4, 6, 4, 1.

Row 6: 1, 5, 10, 10, 5, 1.

Row 6: 1, 6, 15, 20, 15, 6, 1.

Row 7: 1, blank, blank, blank, blank, blank, blank, 1

To obtain values for any row :

Digit 1 is plaved at both extremes ; and each two successive digit in the previous row is added to obtain the numbers in that row.

For row 7:

After placing 1 at both extremes ;

Each two successive digits in row 6 are summed up;

Row 6: 1, 6, 15, 20, 15, 6, 1.

(1 + 6) = 7;

(6 + 15) = 21

(15 + 20) = 35

(20 + 15) = 35

(15 + 6) = 21

(6 + 1) = 7.

Hence,

Row 7 = 1, 7, 21, 35, 35, 21, 7, 1