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

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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.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first term in the binomial expansion discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the terms are arranged in ascending and descending order in the binomial expansion.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What coefficients are derived from Pascal's triangle for the 6th and 7th terms?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the coefficient for the fifth term in the expansion?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expression for the term involving 2X cubed and -3Y to the 4th?

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