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Mathematics · 2022

JEE Main · 25 June 2022, Shift 1 · Q26

For a natural number n, let α_n =19^n -12^n. Then, the value of (31 α_9-α_10)/(57 α_8) is \ \ \ \.

For a natural number n , let $\displaystyle \alpha_{\mathrm{n}}=19^{\mathrm{n}}-12^{\mathrm{n}}$. Then, the value of $\displaystyle \frac{31 \alpha_9-\alpha_{10}}{57 \alpha_8}$ is \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.