5!4!_7!2!=
the 3rd and the 9th terms of a geometry progression are 54 and 39, 366 respectively. find the 6terms
r^6 = 39366/54 = 729 = 3^6
a = 54/3^2 = 6
...
for the factorials, just use any online calculator. geez.
To simplify the expression 5!4!/7!2!, we need to calculate the factorial values and perform the division.
First, let's calculate the factorial values:
5! = 5 x 4 x 3 x 2 x 1 = 120
4! = 4 x 3 x 2 x 1 = 24
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
2! = 2 x 1 = 2
Now, substitute the factorial values into the expression:
(5!4!) / (7!2!) = (120 * 24) / (5040 * 2)
To simplify further, cancel out the common factors in the numerator and denominator:
(120 * 24) / (5040 * 2) = 2880 / 10080
Finally, divide the numerator by the denominator:
2880 / 10080 ≈ 0.2857142857
Therefore, 5!4!/7!2! is approximately equal to 0.2857.