Learn how to find the fifth term of a binomial expansion using pascals triangle

Learn how to find the fifth term of a binomial expansion using pascals triangle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains the process of binomial expansion, focusing on the seventh term. It covers the importance of raising the first term to the highest power and arranging terms in descending and ascending order. The tutorial also discusses using Pascal's triangle to determine coefficients and demonstrates calculating the fifth term by multiplying coefficients and terms. The video concludes with final calculations and emphasizes understanding the pattern of terms.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the power of the first term in the binomial expansion?

It remains constant.

It increases with each term.

It decreases with each term.

It alternates between increasing and decreasing.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the power of the second term change in the expansion?

It alternates between increasing and decreasing.

It increases with each term.

It decreases with each term.

It remains constant.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of Pascal's Triangle in binomial expansion?

It determines the order of the terms.

It provides the powers of the terms.

It is used to calculate the sum of the terms.

It gives the coefficients for the terms.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which term in the expansion is associated with the coefficient 35?

The first term

The third term

The fifth term

The seventh term

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the coefficients and terms in the final expression?

A quadratic equation

A single term

A polynomial expression

A constant value