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

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

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  1. Step-by-step explanation:

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

    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.

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