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What Is The 10th Term Of The Series?0, 14, 52, 126, 248, ...

Question

What Is The 10th Term Of The Series?0, 14, 52, 126, 248, ...

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Solution

The given series appears to be a cubic series, where each term is a cube of a certain number.

Let's try to find the pattern:

0 = 0^3 14 = 2^3 + 2 52 = 3^3 + 7 126 = 4^3 + 14 248 = 5^3 + 23

From this, we can see that the pattern seems to be n^3 + (n^2 - 1), where n is the term number.

So, to find the 10th term of the series, we substitute n = 10 into the formula:

10th term = 10^3 + (10^2 - 1) = 1000 + 100 - 1 = 1099

So, the 10th term of the series is 1099.

This problem has been solved

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