lelemcgree lelemcgree
  • 10-11-2021
  • Mathematics
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Use Pascal's Triangle to determine the sixth term of the expansion of (x + 5)^7

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LammettHash
LammettHash LammettHash
  • 11-11-2021

Pascal's triangle up to the 7th row (starting with 0)

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

Then the 6th term in the expansion of (x + 5)⁷ is

7 • x¹ • 5⁶ = 109375x

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