How many natural numbers are there between 43 and 200 which are exactly divisible by 6?
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the numbers are
48, 54, 60 ...........198
this is in Arithmetic progression , so
a = 48
d = 6
Tn = 198
n = ?
Tn = a+(n-1)d
198 = 48+(n-1)6
198-48 = 6n - 6
150 = 6n - 6
150+6 = 6n
156/6 = n
26 = n
so there are 26 natural numbers between 43 and 200
48, 54, 60 ...........198
this is in Arithmetic progression , so
a = 48
d = 6
Tn = 198
n = ?
Tn = a+(n-1)d
198 = 48+(n-1)6
198-48 = 6n - 6
150 = 6n - 6
150+6 = 6n
156/6 = n
26 = n
so there are 26 natural numbers between 43 and 200
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