Question

What is the average of all of the integers from 17 to 55? enter a numerical value only.

Answer 1

• 36

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First, find the sum of all the integers in the given range and then divide it by the total number of integers.

The sum of an arithmetic sequence can be found using the formula:

• S = n * (a₁ + aₙ) / 2, where n is the number of terms, a₁ is the first term, and aₙ is the last term.

To find n, we use the formula:

• n = (aₙ - a₁) / d + 1, where d is the common difference,
• n = (55 - 17) / 1 + 1 = 38 / 1 + 1 = 38 + 1 = 39

Now, we can find the sum:

• Sum = (39 * (17 + 55)) / 2 = (39 * 72) / 2 = 2808 / 2 = 1404

Finally, we find the average by dividing the sum by the number of integers:

• Average = 1404 / 39 = 36