https://file.aiquickdraw.com/mathbot/file/1726814474247ew4zdze7.jpg

The expression in the image is asking for the value of the sum:

\[
2^3 + 6^3 + 10^3 + \dots + 54^3 + 58^3 + 62^3
\]

We will calculate each cube and sum them up to determine the answer. Let's proceed with the computation.The sum of the cubes is:

\[
2^3 + 6^3 + 10^3 + \dots + 62^3 = 1,046,528
\]

Thus, the correct answer is **(B) 1,046,528**.

Would you like any further details or have any questions?

Here are 5 related questions to further your understanding:
1. How does the cube function \(x^3\) grow compared to other powers of \(x\)?
2. What is the general formula for the sum of cubes?
3. Can you find the sum of cubes for a different sequence of numbers?
4. How can you verify the result using a different method, such as grouping terms?
5. How does this problem relate to geometric shapes, such as calculating the volume of cubes?

**Tip:** Cubes grow very quickly compared to squares, so even small changes in input values can lead to large changes in output.

2^3 + 6^3 + 10^3 + ... + 54^3 + 58^3 + 62^3 = ?

Solve the sum of cubes from 2^3 to 62^3. This problem covers key concepts in exponentiation and summation, including how to calculate cube values and sum them. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation