how many natural numbers from 10 to 250 are divisible by 3
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Let a be first term & d be the common difference
a=12
d=14
a
n
=248
a
n
=a+(n−1)d
248=12+(n−1)4
⇒248−12=4(n−1)
⇒236=4n−4
⇒240=4n
⇒n=60
∴ There are 60 numbers between 10 & 250 that are divisible by 4.
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