Final answer:
To find the sum of numbers between 200 and 600 divisible by 16, calculate the number of terms in the arithmetic series and use the formula for the sum of an arithmetic series.
Step-by-step explanation:
To find the sum of all the numbers between 200 and 600 that are divisible by 16, we first need to find the total number of such numbers. The smallest number divisible by 16 within this range is 208, while the largest number is 592. Using the formula for finding the number of terms in an arithmetic series, we can calculate that there are (592 - 208)/16 + 1 = 23 terms. The sum of an arithmetic series can be found using the formula S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. Plugging in the values, we get S = (23/2)(208 + 592) = 23(400) = 9200.
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