What is (3^n+2+3^n+1-3^n+2)/5 ?

The solution to (3^n+2+3^n+1-3^n+2)/5 is (3^n+5)/5

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simplify (3^n+2+3^n+1-3^n+2)/5

simplify

\frac{3 ^{n} + 2 + 3 ^{n} + 1 - 3 ^{n} + 2}{5}

\frac{3 ^{n} + 5}{5}

Solution steps

\frac{3 ^{n} + 2 + 3 ^{n} + 1 - 3 ^{n} + 2}{5}

Group like terms

= \frac{3 ^{n} + 3 ^{n} - 3 ^{n} + 2 + 2 + 1}{5}

Add similar elements:

3^{n} - 3^{n} = 0

= \frac{3 ^{n} + 2 + 2 + 1}{5}

Add the numbers:

2 + 2 + 1 = 5

= \frac{3 ^{n} + 5}{5}

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What is (3^n+2+3^n+1-3^n+2)/5 ?
The solution to (3^n+2+3^n+1-3^n+2)/5 is (3^n+5)/5