Quiz about Sigma and the Binomial Theorem

Question 1

Expand the expression using the Binomial Theorem.

(2x+5)⁴

Accepted Answer

16x⁴+ 160x³ +600x² +1000x + 625

Answer

2x⁴ + 40x³+ 300x² + 1000x +625

Answer

16x⁴ + 1000x³ + 600x²+ 160x +625

Question 2

Expand

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 3

What is the Binomial expansion of (x + 1)⁵ ?

Accepted Answer

x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

Answer

x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

Answer

x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

Answer

x5 + 1

Question 4

What does this notation represent?

Accepted Answer

$$1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}$$

Answer

$$1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5}$$

Answer

$$1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+...$$

Answer

$$1+\frac{1}{5}$$

Question 5

Question 5.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 6

Question 6.

Accepted Answer

Degree 7

Answer

Degree 3

Answer

Degree 6

Answer

Degree 5

Question 7

Question 7.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 8

Question 8.

Accepted Answer

$$3360x^4y^6$$

Answer

$$-336x^2y^4$$

Answer

$$3360x^6y^4$$

Answer

$$-3360x^4y^6$$

Question 9

Question 9.

Accepted Answer

$$\frac{35x^2}{8}$$

Answer

$$\frac{\sqrt{x}}{8}$$

Answer

Answer

$$\frac{35x\sqrt{x}}{8}$$

Question 10

Question 10.

Accepted Answer

Answer

Answer

Answer

Question 11

Question 11.

Accepted Answer

Answer

Answer

Answer

Question 12

Question 12.

Accepted Answer

Answer

Answer

Answer

Question 13

Question 13.

Accepted Answer

Answer

Answer

Answer

Question 14

Question 14.

Accepted Answer

Answer

Answer

Answer

Question 15

Question 15.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 16

What is a binomial?

Accepted Answer

a polynomial of the sum or difference of two terms

Answer

a polynomial of the sum or difference of two or more terms

Answer

a polynomial of the sum of two terms

Answer

a polynomial of the sum of two or more terms

Sigma and the Binomial Theorem

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