All categories

3 years ago

Find the sum of the first 50 terms of the sequence -6, -2, 2, 6

Mathematics

1 answer:

monitta3 years ago

4 0

Answer:

4600

Step-by-step explanation:

STEP 1: Determine type of progression

$d1 = - 2 - ( - 6) \\ d1 = 4 \\ \\ d2 = 2 - ( - 2) \\ d2 = 4$

Since d1 = d2, it is Arithmetic progression, with a common difference of 4

STEP 2: Evaluate the sum

$s = \frac{n}{2} (2a + (n - 1)d) \\ s = \frac{50}{2} (2( - 6) + (50 - 1)4) \\ s = 4600$

You might be interested in

Gianna skied three times farther than Xavier. Xavier skied four miles. How far did Gianna ski?

lana [24]

4x3=12 Gianni skied 12 miles

7 0

3 years ago

Read 2 more answers

Im much dum and i need help plz. -_-

oksano4ka [1.4K]

V=-4 this should be the answer

8 0

3 years ago

Read 2 more answers

Answer these questions and i’ll give 20 points and brainliest answer!!

Goryan [66]

Answer:

3. 1/2 4. 13/20

Step-by-step explanation:

Those are the only one I know, sorry :/

6 0

4 years ago

Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i

elixir [45]

<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

$V=\frac{4}{3}\pi r^3$

where r is the radius

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}$

Given that

Radius, r = 24 cm

$\frac{dr}{dt}=0.3cm/s$

Substituting

$\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min$

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

4 0

3 years ago

8. In Mrs. William's algebra class, the ratio of girls to total number of

Shkiper50 [21]

Answer:

17 : 30 or 56%

Step-by-step explanation:

Hope this helps :)

Pls mark brainliest, I really need it. I think you get points too!!!!!

- massmaster34

7 0

4 years ago