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Popular >

expand (3*(5^n-1))/4

Solution

expand

\frac{3 \cdot ( 5 ^{n} - 1 )}{4}

Solution

\frac{3 \cdot 5 ^{n}}{4} - \frac{3}{4}

Solution steps

\frac{3 ( 5 ^{n} - 1 )}{4}

Expand

3 (5^{n} - 1) : 3 \cdot 5^{n} - 3

= \frac{3 \cdot 5 ^{n} - 3}{4}

Apply the fraction rule:

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

\frac{3 \cdot 5 ^{n} - 3}{4} = \frac{3 \cdot 5 ^{n}}{4} - \frac{3}{4}

= \frac{3 \cdot 5 ^{n}}{4} - \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is expand (3*(5^n-1))/4 ?
The solution to expand (3*(5^n-1))/4 is (3*5^n)/4-3/4