CCommunity
The first number to be divisible by 13 after 200 is 208.
The next number will be 221, 234, 247 and so on till 390
We get an Arithmetic Progression with first term a1 = 208, common difference d = 13 and nth term an = 390.
We know that,
an = a1 + (n-1)d
⇒ 390 = 208 + (n-1) × 13
⇒ 390 – 208 = 13n – 13
⇒ 182 + 13 = 13n
⇒ n = 195/13
⇒ n = 15