. How many multiples of 4 lie between 10 and 250
A: 60
B: 70
C: 80
D: 90
Best Answer
Explanation
The multiple of 4 which comes just after 10 is 12 and the multiple of which comes just before 250 is 248.
All the multiples of 4 betweenand 10 and 250 are 12,16,20,24.....248.
It is in Arithmetic Progression.
The first term a=12, the common difference d=4, and the last term an=248.
Find the number of terms in the progression.
Use the general term formula of A.P.
an=a+(n-1)d
Proceed further using the formula.
248=12+(n-1)(4)
248-12=4(n-1)
236=4(n-1)
n=60
Final answer
Thus, there are 60 multiples of 4 lie between 10 and 250.
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