1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natta225 [31]
3 years ago
8

What is the sum of the geometric sequence 1, -6, 36, ... If there are 6 terms? (1 point)

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

-6665

Step-by-step explanation:

The given GP is :

1, -6, 36, ...

Number of terms = 6

The sum of n terms of a GP is given by :

S_n=\dfrac{a(r^n-1)}{r-1}

Here,

a = 1, n = 6, r = 36/-6 = -6

So,

S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665

So, the sum of th GP is -6665.

You might be interested in
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator
777dan777 [17]

Answer:

V = 3,367.6 cm³

Step-by-step explanation:

Diameter of sphere (D) = 18.6 cm

radius (r) = ½(18.6) = 9.3

π = 3.14

Formula for volume of a sphere = ⁴/3πr³

Plug in the values

V = ⁴/3 × 3.14 × 9.3³

V = ⁴/3 × 3.14 × 804.357

V = (4*3.14*804.357)/3

V = 3,367.57463

V = 3,367.6 cm³ (nearest tenth)

6 0
3 years ago
Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.
Arte-miy333 [17]

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

4 0
3 years ago
Prove that: (secA-cosec A) (1+cot A +tan A) =( sec^2A/cosecA)-(Cosec^2A/secA)<br>​
Ksju [112]

Step-by-step explanation:

(\sec A - \csc A)(1 + \cot A + \tan A)

=(\sec A - \csc A)\left(1 + \dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} \right)

=(\sec A - \csc A)\left(1 + \dfrac{\cos^2 A + \sin^2 A}{\sin A\cos A} \right)

=(\sec A - \csc A)\left(\dfrac{1 + \sin A \cos A}{\sin A \cos A} \right)

=\left(\dfrac{\frac{1}{\cos A} - \frac{1}{\sin A}+\sin A - \cos A}{\sin A\cos A}\right)

=\dfrac{\sin A - \sin A \cos^2A - \cos A + \cos A\sin^2A}{(\sin A\cos A)^2}

=\dfrac{\sin A(1 - \cos^2A) - \cos A (1 - \sin^2 A)}{(\sin A\cos A)^2}

=\dfrac{\sin^3A - \cos^3A}{\sin^2A\cos^2A}

=\dfrac{\sin A}{\cos^2A} - \dfrac{\cos A}{\sin^2A}

=\left(\dfrac{1}{\cos A}\right)\left(\dfrac{\sin A}{1}\right) - \left(\dfrac{1}{\sin^2A}\right) \left(\dfrac{\cos A}{1}\right)

=\sec^2A\csc A -  \csc^2A\sec A

5 0
3 years ago
Student make a rectangular banner that is 30 inches wide and 84 inches long
nadezda [96]

Answer:

To understand roads and subways at new places.

To calculate distance between two places.

To know whether there are two or more paths to the same place and which is the shortest.

We can get information about mountains, rivers, valleys or any other thing, which may come on the way, and we can prepare for that.

4 0
3 years ago
Read 2 more answers
What is the area of the segment?
Mademuasel [1]

Answer:

probably 6

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A person in good physical condition can put out 95 W of useful power for several hours at a stretch, perhaps by pedaling a mecha
    8·1 answer
  • Which is the measure of angle C<br><br> A). 42°<br> B). 138°<br> C). 180°<br> D). 218°
    12·1 answer
  • Which is the better estimate of the weight of a football helmet
    13·1 answer
  • The equation of a circle is x2+y2-6y+1=0 what are the coordintes of the center and the length of the radius
    6·1 answer
  • Help with math homework please.
    5·1 answer
  • A student's checking account contained $660 at the beginning of the month. The student had five transactions during the month: d
    7·1 answer
  • If M is the midpoint of segment AB, then which of the following statements is/are true? AB=MB AM=MB Segment AM is congruent to s
    5·1 answer
  • In what order from strongest to weakest do these go in?
    5·2 answers
  • I need help ASAP please
    9·2 answers
  • Solve the equation. f - 8/9 = 5/9<br> f = ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!