Respuesta :
Answer:
44, 55, 66
Step-by-step explanation:
First, we need to understand that consecutive means continuous. Therefore, consecutive multiples have to be directly after each other. For example, some consecutive multiples of 2 are 2, 4, 6, and 8. If the numbers were instead 2, 6, and 10, they wouldn't be consecutive because they skipped 4 and 8.
When you have questions like these, where they give you the number of terms, or the number of multiples you have, and the sum of the multiples, you divide the sum by the number of terms to get the number in the middle. In this case, there are 3 terms and the sum is 165. Therefore, you divide 165 by 3 to get 55. Now I know that 55 is the number "in the middle". Since there are three terms, it looks like this: ___ ___ ___. The one in the middle would be the 2nd one, so I have ___ 55 ___. Since I know they are consecutive multiples of 11 and I know 55 = 11 x 5, I know the multiple before that is 11 x (5 - 1) = 11 x 4 = 44. I know the multiple after 55 is 11 x (5 + 1) = 11 x 6 = 66. Now I have 44, 55, and 66.
Therefore, the three multiples of 11 are 44, 55, and 66.
