mental ability but a tough one

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Find the next term 8,51,485,2023,13211


The answer is 26221.

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1 solution

Bhavya Jain
May 9, 2015

2 4 2 3 2 2 + 2 × 2 = 8 3 4 3 3 3 2 + 2 × 3 = 51 5 4 5 3 5 2 + 2 × 5 = 485 7 4 7 3 7 2 + 2 × 7 = 2023 1 1 4 1 1 3 1 1 2 + 2 × 11 = 13211 1 3 4 1 3 3 1 3 2 + 2 × 13 = 26221 \begin{array}{c}2^4-2^3-2^2+2\times 2=8\\3^4-3^3-3^2+2\times 3=51\\5^4-5^3-5^2+2\times 5=485\\7^4-7^3-7^2+2\times 7=2023\\11^4-11^3-11^2+2\times 11=13211\\13^4-13^3-13^2+2\times 13=26221\end{array}

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