Question

convert the following products into factorials

(iv) 1.3.5.7.9......(2n - 1)​

Answer 1

Step-by-step explanation:

1*3*5*7..

= 1*2*3*4*5*6*7*8*.../ 2*4*6*8*...

= (2n-1)! /(2^(n-1) ×(n-1)!)

proof:

n= 5

= 9!/ 2⁴ ×4! = 9×8×7×6×5×4×3×2/ 16 × 4×3×2= 945

1*3*5*7*9 = 945

n=4

= 7!/ 2³×3!= 7×6×5×4×3×2/ 8×6 = 105

1×3×5×7 = 105