Enter Multifactorial

Calculate the multifactorial 7!!

We have 2 exclamation symbols (!)

Start at 7

Iterate backwards in steps of 2

Stop when we hit 1 or below

Term 1

For term 1, we start with 7

Term 2

Subtract -1 x 2 = -2 to get n(n - -2)

(n - -2) → 7 - -2 = 5
Our factorial term is:
7(5)

Term 3

Subtract -1 x 2 = -2 to get n(n - -2)(n - -2)

(n - -2) → 7 - -2 = 3
Our factorial term is:
7(5)(3)

Term 4

Subtract -1 x 2 = -2 to get n(n - -2)(n - -2)(n - -2)

(n - -2) → 7 - -2 = 1
Our factorial term is:
7(5)(3)(1)

Build final multifactorial:

7!! = n(n - -2)(n - -2)(n - -2)...

7!! = 7(5)(3)(1)

Final Answer


7!! = 105