Q:

# Calculate the sum of the numbers in each row of Pascal's triangle for n = 0 to 5.a. 1,2, 4, 6, 8, 10c. 2, 4, 8, 64b. 2, 4, 8, 16, 32d. 1, 2, 4, 8, 16, 32PLEASE HELP ME

Accepted Solution

A:
Answer:d. 1, 2, 4, 8, 16, 32Step-by-step explanation:Pascal's triangle is the a triangular array of binomials coefficient  of equations of each degree.n=0                                              1            n=1                                          1          1n=2                                   1           2        1n=3                              1          3          3        1n=4                        1           4         6         4         1n=5                   1          5          10       10        5         1An easy way to list Pacsal's triangles is the number below Two numbers is the sum of those two numbers.for example look at the number 10 at the triangle it is actually the sum of Two numbers above it 6 and 4after listing pascals triangle we can calculate sum as 1,2,4,8,16,32Method 2Sum of numbers in nth row is $$2^{n}$$so sums are $$2^{0}$$,$$2^{1}$$,$$2^{2}$$,$$2^{3}$$,$$2^{4}$$,$$2^{5}$$or, 1,2,4,8,16,32