Find n if 24n-2-1-82n-6

The correct option is A 2 2^4n 2=1 ( 2^3 )^2n 6 =12^6n 18 #160; = 2^18 6n ∴ 4n 2=18 6n ∴ 10n=20 ∴ n=2 ...

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Quadratic Formula

Find n if ...

Question

Find $n$ if $2^{4 n - 2} = \frac{1}{8^{2 n - 6}}$

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1 + 2 + 3 + . . . . + n < \frac{1}{8} (2 n + 1)^{2}

1 + 2 + 3 + . . . . . . . . . . . . . . n < \frac{1}{8} (2 n + 1)^{2}

lim n \to \infty \frac{(1^{2} + 2^{2} + 3^{2} + . . . + n^{2}) (1^{3} + 2^{3} + 3^{3} + . . . + n^{3})}{1^{6} + 2^{6} + 3^{6} + . . . + n^{6}}

lim n \to \infty \frac{(1^{2} + 2^{2} + 3^{2} + \dots + n^{2}) (1^{3} + 2^{3} + 3^{3} + \dots + n^{3})}{1^{6} + 2^{6} + 3^{6} + \dots + n^{6}}

1^{3} + 2^{3} + 3^{3} + . . . . . . + n^{3} = {(\frac{n (n + 1)}{2})}^{2}

1^{3} + 2^{3} + 3^{3} + . . . . . . + 21^{3}

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