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, ...
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.
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