Question

How many natural numbers divisible by 7 are there between 3 and 200?

Answer 1

Hey sup!

a=7 (First number divisible by 7 in the range)

d=7(As the number is to be divisible by 7).

l=196(last number divisible by 7in the range).

=>T(n)=a+(n-1)d.
=>196=7+(n-1)7.
=>196-7=(n-1)7.
=>189=(n-1)7.
=>189/7=n-1.
=>27=n-1.
=>n=27+1.
=>n=28.

There are 28 natural numbers divisible by 7 between 3 and 200.

Hope it helps.

Answer 2

a = 7

an = 196

d =7

n= ?
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an = a + (n-1)d

196 = 7 + (n-1)7

189 = (n-1)7

27 = n-1

n = 28

28 natural numbers are divisible by 7 between 3 and 200