Question

(c) Write Row 10 of Pascal's Triangle.
(d) What is the sum of the numbers in Row l of
Pascal's Triangle?
(e) What is the sum of the numbers in Row 3 of
Pascal's Triangle?
(f) Find the sum of the numbers in Row 8 of Pascal's
Triangle without adding.
Row 1/1
Row 2 1 1
Row 3 1 2 11
Row 4 1 3 31 1
Row 51 4 61 4 1
Row 6/1 5 19 10 5 1
Row 7 1 6 15 20 15 6 1
Diagonal 3

Answer 1

Answer with step-by-step explanation:

{ Refer to the attachment fot the triangle }

(c) Row 10 of Pascal's triangle:

The numbers in the 10th row of Pascal's triangle are 1, 10, 45, 100, 210, 252, 210, 100, 45, 10 and 1.

(d) Sum of the numbers of Row 1:

The number in the 1st row is 1, i.e., the sum is 1 itself.

(e) Sum of the numbers of Row 3:

The numbers in the 3rd row are 1, 3, 3 and 1. Thus their sum is (1 + 3 + 3 1) = 8.

(f) Sum of the numbers of Row 8:

Here we obtain the sum of 8th row using the property- sum of the elements of nth row is 2ⁿ and therefore the sum of the numbers of 8th row is 2⁸ = 256.