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Select the correct answerThe sum of five consecutive even numbers is equal to 260. what is the sum of the largest number amongst them and the half the square of the smallest numbers amongst them?Options12881274120813461644

Question

Select the correct answerThe sum of five consecutive even numbers is equal to 260. what is the sum of the largest number amongst them and the half the square of the smallest numbers amongst them?Options12881274120813461644

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Solution

To solve this problem, we first need to find the five consecutive even numbers.

  1. We know that the sum of five consecutive even numbers is 260. So, we can write the equation as: 2n + 2(n+1) + 2(n+2) + 2(n+3) + 2(n+4) = 260.

  2. Simplifying the equation, we get 10n + 20 = 260.

  3. Solving for n, we get n = 24.

  4. So, the five consecutive even numbers are: 48, 50, 52, 54, and 56.

  5. The largest number among them is 56 and the smallest is 48.

  6. The sum of the largest number and half the square of the smallest number is: 56 + 0.5*(48^2) = 56 + 0.5*2304 = 56 + 1152 = 1208.

So, the correct answer is 1208.

This problem has been solved

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