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Popular >

expand (4(3^n-1))/3

Solution

expand

\frac{4 ( 3 ^{n} - 1 )}{3}

Solution

4 \cdot 3^{n - 1} - \frac{4}{3}

Solution steps

\frac{4 ( 3 ^{n} - 1 )}{3}

Expand

4 (3^{n} - 1) : 4 \cdot 3^{n} - 4

= \frac{4 \cdot 3 ^{n} - 4}{3}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{4 \cdot 3 ^{n} - 4}{3} = \frac{4 \cdot 3 ^{n}}{3} - \frac{4}{3}

= \frac{4 \cdot 3 ^{n}}{3} - \frac{4}{3}

Cancel

\frac{4 \cdot 3 ^{n}}{3} : 4 \cdot 3^{n - 1}

= 4 \cdot 3^{n - 1} - \frac{4}{3}

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Frequently Asked Questions (FAQ)

What is expand (4(3^n-1))/3 ?
The solution to expand (4(3^n-1))/3 is 4*3^{n-1}-4/3