Problem

Find the sum of the sequence.
\[
\sum_{k=6}^{18} k^{3}
\]
\[
\sum_{k=6}^{18} k^{3}=\square
\]

Answer

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Answer

So, the final answer is \(\sum_{k=6}^{18} k^{3}=\boxed{29016}\).

Steps

Step 1 :We are asked to find the sum of the sequence \(\sum_{k=6}^{18} k^{3}\).

Step 2 :We will use a for loop to iterate over the range from 6 to 18. For each iteration, we will cube the current number and add it to a running total.

Step 3 :After the loop finishes, the total will be the sum of the cubes of the numbers from 6 to 18.

Step 4 :The total sum of the cubes from 6 to 18 is 29016.

Step 5 :So, the final answer is \(\sum_{k=6}^{18} k^{3}=\boxed{29016}\).

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