Question

How many numbers less than 904 are divisible by 3?​

Answer 1

Solution :-

→ First multiple of 3 is = 3

→ Second multiple of 3 is = 6

So, series will be :- 3, 6, 9, 12, _________ upto 903 .

As we can see that, difference between each multiple is 3 . So, it is a AP series .

So,

→ First term = a = 3

→ common difference = 3

→ T(n) = 903 = Let n th term

then,

→ T(n) = a + (n - 1)d

→ 903 = 3 + (n - 1)3

→ 903 = 3 + 3n - 3

→ 3n = 903

→ n = 301 (Ans.)

therefore, total terms in the AP series are 301 .

Hence, we can conclude that, there are 301 numbers less than 904 that are divisible by 3 .

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Answer 2

Answer:

301

Step-by-step explanation:

AP=3,6,9,12,15,18,21,24,27,30,...…............,903

given,a= 3

d=3

last term (an)=903

n=?

we know that,

a+(n-1)d=an

=>3+(n-1)3=903

=>(n-1)3=903-3

=>(n-1)3=900

=>(n-1)=900/3

=>n-1=300

=>n=300+1

=>n=301

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