Write the next three multiples of 17. $17, 34, 51, 68, 85$, ____, ____, ____.
Answer (2)
Find the 6th multiple of 17: 85 + 17 = 102 .
Find the 7th multiple of 17: 102 + 17 = 119 .
Find the 8th multiple of 17: 119 + 17 = 136 .
The next three multiples of 17 are: 102 , 119 , 136 .
Explanation
Problem Analysis We are asked to find the next three multiples of 17, following the given sequence: 17 , 34 , 51 , 68 , 85 . This means we need to continue the sequence by adding 17 to the last number in the sequence to find the next multiple.
Finding the 6th Multiple To find the 6th multiple of 17, we add 17 to the 5th multiple, which is 85: 85 + 17 = 102
Finding the 7th Multiple To find the 7th multiple of 17, we add 17 to the 6th multiple, which is 102: 102 + 17 = 119
Finding the 8th Multiple To find the 8th multiple of 17, we add 17 to the 7th multiple, which is 119: 119 + 17 = 136
Final Answer Therefore, the next three multiples of 17 are 102, 119, and 136.
Examples
Understanding multiples is useful in everyday situations, such as when you're planning a party and need to buy items in specific quantities. For example, if each guest needs 3 cookies and you expect 17 guests, you'll need to calculate the total number of cookies required, which is a multiple of 3. Knowing multiples helps you ensure you have enough supplies for everyone attending.
The next three multiples of 17 after 85 are 102, 119, and 136. These were found by adding 17 repeatedly to the last known multiple. Thus, the sequence continues as 17 , 34 , 51 , 68 , 85 , 102 , 119 , 136 .
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