For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive....
For any integer n greater than 1, n* denotes the product of all the integers from 1 to n, inclusive. How many multiples of 4 are there between 4* and 5*, inclusive?
Answer/Solution
25
Steps/Work
here, 4* = 4! and 5* = 5!
question is asking no. of terms in an AP whose first term is 24(4!), last term is 120(5!) and common difference is 4.
last term OR nth term = first term +(no. of tems -1)(common difference)
Tn = a + (n-1)d
120 = 24 + (n-1)4
96/4 = n-1
n = 25 .....E
question is asking no. of terms in an AP whose first term is 24(4!), last term is 120(5!) and common difference is 4.
last term OR nth term = first term +(no. of tems -1)(common difference)
Tn = a + (n-1)d
120 = 24 + (n-1)4
96/4 = n-1
n = 25 .....E