The sum of n terms of a geometric series is given by
$S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}$

Substituting the given numbers, you have
$2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6$

There are 6 terms in the series.

4 0

3 years ago

What is the area of this figure? Select from the drop-down menu to correctly complete the statement. The area of the figure is c

melomori [17]

Answer:

The answer is 146

Step-by-step explanation:

5 0

3 years ago

Acellus

aksik [14]

9514 1404 393

Answer:

{-8, -4, -2, -1, 1, 2, 4, 8}

Step-by-step explanation:

Possible rational roots are positive and negative divisors of the constant 8:

{-8, -4, -2, -1, 1, 2, 4, 8}

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<em>Additional comment</em>

This polynomial has no rational roots. Its two real roots are both negative and irrational.

7 0

3 years ago