# Find how many integers between 200 and 500 are divisible by 8

### Asked by shuvompaul | 20th Jun, 2020, 10:45: AM

Expert 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 a_{n} = 496
a_{n }= 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.

_{n}= 496

_{n }= a + (n - 1)d

→ n = 37

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

### Answered by Yasmeen Khan | 20th Jun, 2020, 08:11: PM

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