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5.09 Pascal's triangle and binomial expansion

Interactive practice questions

The 4th row of Pascal’s triangle consists of the numbers $1,4,6,4,1$1,4,6,4,1. Write down the numbers in the 5th row of Pascal’s triangle in the correct order.

Easy
< 1min

Find the sum of the entries in the $5$5th row of Pascal’s triangle.

Easy
< 1min

You are given some of the entries in a particular row of Pascal’s triangle. Fill in the missing entries.

Easy
< 1min

Which row of Pascal’s triangle would give us the coefficients of terms in the expansion of $\left(x+y\right)^7$(x+y)7?

Easy
< 1min
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Outcomes

1.3.4.2

recognise and use the link between Pascal’s triangle and the notation (n r)

1.3.4.3

expand (𝑥+𝑦)^𝑛 for small positive integers n

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