Mathematics: Which equation could be used to calculate the sum of the geometric series? 1/3 + 2/9 + 4/27 + 8/81 + 16/243?

Which equation could be used to calculate the sum

Ответ:

cesargonzaleztovar60

13.03.2022

Mathematics

$S_{n}$ = a( $\frac{1-r^{n}} {1-r}$ ) when r $\leq$ 1

and $S_{n}$ = $a(\frac{r^{n}-1} {r-1})$ when r $\geq$ 1

Explanation:

where a is first term of geometric series

r = common ratio of geometric series

n= number of terms of geometric series

In the given series a= $\frac{1}{2}$

r= $\frac{2}{3}$

n=5

So, substituting the values in the equation for r $\leq$ 1

you will get the required result

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Ответ:

alejandramirand9836

13.03.2022

Mathematics

1 - (2/3)^5
s = gives you the sum of the first 5 terms of this series.

5 1 - (2/3)

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Ответ:

mikk33

19.05.2022

Mathematics

(-x+9)(-x-9) - prefect square
(xy + x)(xy + x) - perfect square
(2x-3)(-3+2x) - not a perfect square
(16- x²)(x2 – 16) - not a perfect square
(4y? +25)(25+4y?) - not a perfect square

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Which equation could be used to calculate the sum of the geometric series? 1/3 + 2/9 + 4/27 + 8/81 + 16/243?

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