Sum
How many three-digit numbers are divisible by 87?
Advertisement Remove all ads
Solution
The three-digit number divisible by 87 are as follow 174, 261, ....., 957
Clearly, this forms an A.P. with the first term a= 174 and common difference d = 87.
Last term = nth term = 957
The general term of an A.P is given by
`t_n = a + (n - 1)d`
`=> 957 = 174 + (n - 1)(87)`
`=> 783 = (n - 1) xx 87`
=> 9 = n - 1
=> n = 10
Thus 10 three digit numbers are divisble by 87.
Concept: Arithmetic Progression - Finding Their General Term
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads