Quiz about 4.1 Pascal Triangle

Question 1

The Pascal's Triangle is named after

Accepted Answer

Blaise Pascal

Answer

Mary Pascal

Answer

Blain Pascal

Answer

Joshua Pascal

Question 2

Pascal Triangle can used to expand for power series n greater than 0.

Accepted Answer

True

Answer

False

Question 3

What number can always be found at the left side of the triangle?

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 4

What is the value for $$\left(a+b\right)^0$$ ?

Accepted Answer

1

Answer

0

Answer

$$a^0$$

Answer

$$b^0$$

Question 5

How many terms will be when the index (n) is 3?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 6

How many terms are the in the expansion of $$\left(a+1\right)^5$$

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 7

Use the Pascal's Triangle to find the first two terms in the expansion $$\left(1+b\right)^6$$

Accepted Answer

1 and 6b

Answer

1 and 4b

Answer

1 and 5b

Answer

1 and 7b

Question 8

State the coefficient for $$n=4$$ when expand using Pascal Triangle.

Accepted Answer

1 4 6 4 1

Answer

1 3 3 1

Answer

1 5 10 10 5 1

Question 9

What is the coefficient of 3rd term when expanding $$\left(r+2s\right)^4$$ ?

Accepted Answer

24

Answer

12

Answer

36

Answer

48

Question 10

Expand $$\left(4+s\right)^3$$ .

Accepted Answer

$$64+48s+12s^2+s^3$$

Answer

$$12+24s+12s^2+s^3$$

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