Find the value of the following- 13-4

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Geometric Progression

Find the valu...

Question

Find the value of the following:
$\frac{1}{3^{- 4}}$

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Solution

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x

\frac{x - 2}{4} + \frac{1}{3} = x - \frac{2 x - 1}{3}

- n

{(- 3)}^{n + 1} \times {(- 3)}^{5} = {(- 3)}^{- 4}

n

\frac{2}{3} (4 n - 1) - (2 n - \frac{1 + n}{3}) = \frac{1}{3} n + \frac{4}{3}

1 = \frac{1}{2} (1 \times (1 + 1))

1 + 2 = \frac{1}{2} (2 \times (2 + 1))

1 + 2 + 3 = \frac{1}{2} (3 \times (3 + 1))

1 + 2 + 3 + 4 = \frac{1}{2} (4 \times (4 + 1))

1 + 2 + 3 + 4 + 5 + . . . . + 50

a) [5 (8^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3}]^{\frac{1}{4}}

b) (0.000064)^{\frac{5}{4}} \times (0.04)^{\frac{5}{4}}

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