The sum of 5 consecutive odd numbers is 575. What will be the sum of the next set of 5 consecutive odd numbers?
Question
The sum of 5 consecutive odd numbers is 575. What will be the sum of the next set of 5 consecutive odd numbers?
Solution
Sure, let's solve this step by step:
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First, we need to find the average of the 5 consecutive odd numbers. Since they are consecutive, the average will be the middle number. We can find this by dividing the total sum by the number of terms. So, 575 / 5 = 115. This means that 115 is the third odd number in the sequence.
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The next set of 5 consecutive odd numbers will start from the next odd number after 115, which is 117.
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The five numbers will be 117, 119, 121, 123, and 125.
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To find the sum of these numbers, we simply add them together: 117 + 119 + 121 + 123 + 125 = 605.
So, the sum of the next set of 5 consecutive odd numbers is 605.
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