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Popular >

expand (3(3^k-1))/2

Solution

expand

\frac{3 ( 3 ^{k} - 1 )}{2}

Solution

\frac{3 ^{1 + k}}{2} - \frac{3}{2}

Solution steps

\frac{3 ( 3 ^{k} - 1 )}{2}

Expand

3 (3^{k} - 1) : 3^{1 + k} - 3

= \frac{3 ^{k + 1} - 3}{2}

Apply the fraction rule:

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

\frac{3 ^{1 + k} - 3}{2} = \frac{3 ^{1 + k}}{2} - \frac{3}{2}

= \frac{3 ^{k + 1}}{2} - \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is expand (3(3^k-1))/2 ?
The solution to expand (3(3^k-1))/2 is (3^{1+k})/2-3/2