Find the third term in a binomial expansion to the 7th power

Find the third term in a binomial expansion to the 7th power

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 finding the third term. It begins by rewriting the expression and identifying the first three terms. The teacher then uses Pascal's Triangle to determine the coefficients needed for the expansion. Finally, the third term is simplified, resulting in a final expression. The tutorial emphasizes understanding the pattern and process of binomial expansion, particularly the role of coefficients and the use of Pascal's Triangle.

Read more

5 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first term of the binomial expansion mentioned in the text?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

How is the second term of the expansion expressed?

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the third term in the binomial expansion.

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the coefficient of the third term in the expansion?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for the third term as derived in the text?

Evaluate responses using AI:

OFF