(copy)

Odd Number Triangle:

• # of elements in row n: $n$

• Sum of row n: $n³$

• Median of row n: $n^2$

• 1st term in row n: $n^2-n+1$

• Last term in row n: $n^2+n-1$

Pascal’s Triangle:

• n choose k = $\frac{n!}{k!\left(n-k\right)!}$

• (n choose k) + (n choose k-1) = (n+1 choose k+1)

• n choose k = (n choose k-n)

• Flower pattern (average in the middle + alternate terms have same product)

• Hockey stick

• Sum of row n: $2^{n}$

• Sum of every other term in row n: $2^{n-1}$

Fibonacci Numbers:

• 0, 1, 1, 2, 3, 5, 8, 13

• $F_{n}=F_{n-1}-F_{n-2},n\ge2$

• $F_{m+n+1}=F_{m+1}F_{n+1}+F_{m}F_{n}$

Sums of multiples