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Mandarinka [93]
3 years ago
15

Find the sum of 3+9+27...+6561

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
The sum of the first n terms of a geometric series with first term a₁ and common ratio r is given by the formula
S_{n}=a_{1}\cdot\dfrac{r^{n}-1}{r-1}

Then your sum is
\sum\limits_{n=1}^{8}3^{n}=3\cdot\dfrac{3^{8}-1}{3-1}=9840

The sum of this geometric series with first term 3 and common ratio 3 is ...
   J  9840
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