# Help Finding the sum of the cubed and odd 5 digit numbers

• Brookejewel
In summary, The person is asking for help with finding the sum of the cubes of all odd 5 digit numbers. They are also asking if there is a formula for finding the sum of all cubes up to a certain point, regardless of whether they are odd and have 5 digits.
Brookejewel

Im trying to find the sum of the cubes of all the odd 5 digit numbers..

if you know a formula that works even with smaller numbers so i can try solving it also but i need the answer as well

Hi Brookejewel!

Do you know a formula for all the cubes (up to a certain point). Let's disregard the fact that they have to be odd and have 5 digits.

Do you know a formula for

$$\sum_{i=1}^{1000000}{i^3}$$

for example? Once you know this formula, we will modify it to suit your purposes!

## 1. What is the formula for finding the sum of the cubed and odd 5 digit numbers?

The formula for finding the sum of the cubed and odd 5 digit numbers is (n/2)(2n^2 + 1), where n is the last digit of the largest 5 digit odd number.

## 2. How do you determine which numbers are odd and which are even?

To determine if a number is odd or even, you can divide it by 2. If the remainder is 0, it is even. If the remainder is 1, it is odd.

## 3. What are the possible values for n in the formula?

The possible values for n in the formula are 1, 3, 5, 7, and 9.

## 4. Can you provide an example of finding the sum of the cubed and odd 5 digit numbers?

For example, let's take the largest 5 digit odd number, 99999. The last digit is 9, so n = 9. Plugging this into the formula, we get (9/2)(2(9^2) + 1) = (4.5)(163) = 733.5. Therefore, the sum of the cubed and odd 5 digit numbers is 733.5.

## 5. Is there a shortcut or simpler way to find the sum of the cubed and odd 5 digit numbers?

No, the formula is the most efficient way to find the sum of the cubed and odd 5 digit numbers. However, you can use a calculator to simplify the calculation.

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