How many numbers between 100 to 250 are divisible by 5 ,6 and 3
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1
What are the numbers between 50 and 250 are divisible by 6?
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Kolly Adex
Answered March 11, 2018
The first number exactly divisible by 6 between 50 and 250 is 54, while the last number 246.
Using Arithmetic Progression (AP) method to solve the problem
The first term of the AP is 54, while the last term is 246
l = a+ (n - 1)d
Where, l is the last term = 246
a is the first term = 54
n is the number of terms = ?, and
d is the common difference = 6
246 = 54 + (n - 1)6
246 = 54 + (n - 1)6
246 = 54 + 6n - 6
6n = 246 - 54 + 6
6n = 198
n = 198/6
n = 33
The series consists 33 terms (numbers)
54,60,66,…, 234,240,246.