Question

find how many integers bw 200 snd 500 divisible by 8

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Answer 1

Answer:

The integers between 200 and 500 which are divisible by 8 are 208, 216, 224, ....... , 496.

The given series in an A.P since d = 8.

Here, a = 208, d = 8 and an = 496

an = a + (n - 1)d

→ 496 = 208 + (n - 1)8

→ 8n - 8 = 288

→ 8n = 296

→ n = 37

→ There are 37 integers between 200 and 500 that are divisible by 8.

Answer 2

Step-by-step explanation:

We have,

200,208,216.......496

∴Tn=496

a+(n−1)d=496

200+(n−1)d=496

200+8n−8=496

8n+192=496

8n=496−192

8n=304

n=8304

n=38

Hence, 38 integers are divisible by 8 between 200 and 500.