If an $A P, 5 n = 4 n - n^{2}$ then find the $n^{x}$ terms.

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Solution

Given,

$5 n = 4 n - n^{2}$

$n = - n^{2}$

$∴ n = - 1$

$n^{x}$

$= (- 1)^{x}$

$= 1$ if x is even

$= - 1$ if x is odd

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