## Related questions with answers

Study Pascal's triangle. Describe the symmetry that the numbers in the triangle have.

Solutions

VerifiedIn the Pascal's Triangle, the first and the last numbers are the same, the second and the second-to-the-last numbers are the same, the third and the third-to-the-last numbers are the same, and so on. It can be said then the numbers are symmetrical "at the middle."

Pascal's triangle:

$\begin{array}{llllllllllllllllll} n & & & & & & & & & 1 & & & & & & & & \\ & & & & & & & & & & & & & & & & & \\ 2 & & & & & & & 1 & & 2 & & 1 & & & & & & \\ 3 & & & & & & 1 & & 3 & & 3 & & 1 & & & & & \\ 4 & & & & & 1 & & 4 & & 6 & & 4 & & 1 & & & & \\ 5 & & & & 1 & & 5 & & 10 & & 10 & & 5 & & 1 & & & \\ 6 & & & 1 & & 6 & & 15 & & 20 & & 15 & & 6 & & 1 & & \\ 7 & & 1 & & 7 & & 21 & & 35 & & 35 & & 21 & & 7 & & 1 & \end{array}$

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