All categories

2 years ago

Write the sum using summation notation, assuming the suggested pattern continues. 1 - 3 + 9 - 27 + ...

2 answers:

6 0

Σ-3^(n-1) for n=[1,n]

Angie above is correct though as there is no sum for this as an infinite series as r^2>1.

The only time infinite series have a sum is if r^2<1, and that sum is just s=a/(1-r)

meriva2 years ago

4 0

There is no sum for this geometric series. it diverges rather than converges due to the absolute value of the common ratio (r), which is -3, being 3. for a geometric series to have a sum (to converge), the absolute value of r must be less than 1.
(you find r by dividing a2/a1, a3/a2, etc.)
hope this helps

You might be interested in

a company bought 12 boxed lunches from a delli for $74.50 each boxed lunch costs the same amount which equation represents the p

Snowcat [4.5K]

I they each cost 6.21$ caz if u do 6.21 you get 74.53 but if you do 6.20 you get74.40 what ever u prefer

4 0

3 years ago

Jason considered two similar televisions at a local electronics store. The generic version was based off the brand name and was

slavikrds [6]

Keywords:

<em>Variables, televisions, generic version, TV brand, dimensions </em>

For this case we have two televisions, one generic version and one brand. We know that the generic version represents $\frac {2} {3}$ the size of the brand. We must define two variables that represent the dimensions of the brand TV, so we have:

x: Brand TV length

y: Brand TV width

Dimensions of the generic TV:

$Length = 12\\Width = 24$

So:

$\frac {2} {3} x = 12$

$\frac {2} {3} y = 24$

By clearing the variables we have:

$x = 12 \frac {3} {2} = 18\\y = 24 \frac {3} {2} = 36$

Thus, the dimensions of the brand TV are 18 inches by 36 inches

Answer:

The dimensions of the brand TV are 18 inches by 36 inches

3 0

2 years ago

Read 2 more answers

Why are chemical sense called behavioral barriers

iren [92.7K]

Answer:because it works different when you smell a chemical sense from then if you smell a regular sese.

Step-by-step explanation:

A regula sense like a fart might smell bad. But a chemical sense can burn your nostrils and burn you nose hairs causing you not to have good sent or to never smell again

3 0

3 years ago

Fill in the blanks

Leto [7]

Answer:

What is the name of the website or book?

4 0

3 years ago

The dashed-line triangle is a dilation image of the solid-lined triangle.

Gre4nikov [31]

Refer to the edited figure.

Triangles ABC and A'B'C' are similar because of AAA.
Also,
$\frac{AB}{A'B'}= \frac{15}{5}=3 \\\\ \frac{AC}{A'C'}= \frac{12}{4}=3$

Therefore
ΔA'B'C' is 1/3 the size of ΔABC.
This means that the scale factor from ΔABC to ΔA'B'C' is a 3-factor reduction.

Answer: reduction; one-third.
The dilation is a reduction.
The scale factor of the dilation is one-third.

8 0

3 years ago