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
Galina-37 [17]
3 years ago
12

Find the sum of the geometric sequence.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

<u>Answer:</u>

\frac{31}{3}

<u>Step-by-step explanation:</u>

We are given the following geometric sequence and we are to find its sum:

\frac{1}{3} + \frac{2}{3} + \frac{4}{3} + \frac{8}{3} + \frac{16}{3}

For this, we just simply need to add these fractions by taking their LCM.

Since the denominator is same for all the fractions in the geometric sequence, we can take the same denominator and add all the numbers in the numerator to get:

\frac {1 + 2 + 4 + 8 + 16 } {3} = \frac{31}{3}

You might be interested in
WILL GIVE BRAINLIEST
Tatiana [17]

y=(x-2)^2+1

7 0
3 years ago
Read 2 more answers
28. What is the maximum number of real roots
attashe74 [19]
The maximum number of real roots is 5 because the degree is 5. The fundamental theorem of algebra states that the degree of a polynomial is the number of real solutions. (The degree is the highest exponent of the polynomial)
6 0
3 years ago
A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of
vivado [14]

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

4 0
3 years ago
A blank is a unit rate with a denominator of 1 unit
Dima020 [189]
It is 3. That's the correct answer

6 0
3 years ago
Eva would like to buy a flute with an original price of $969.40. Which coupon should she use $75.00 off or 10% off
Dmitriy789 [7]

Answer:

10% off would be $96.94

So using the Coupon for 10% off would be the best deal.

8 0
3 years ago
Other questions:
  • 294 to the nearest 1000
    10·1 answer
  • Suppose you have only hundreds, tens, and ones blocks. What are two different ways you could make the number 1,718
    11·1 answer
  • The sum of a 3 digit number and a 1 digit number is 223 the product of the numbers is 660 if one number is between 200 and 225 w
    5·1 answer
  • How do I solve this ?
    6·1 answer
  • An angle measures 12° more than the measure of its complementary angle. What is the measure of each angle?​
    8·1 answer
  • An animal shelter have 36 kittens and 12 puppies available for adoption.
    7·1 answer
  • Jim makes $5 an hour at the surf shop. His boss gives him a one-time bonus of $50. Sarah makes $8 an hour at the clothes store.
    15·1 answer
  • Please I need help with this ASAP
    12·1 answer
  • I NEED HELP WITH THIS, SHOW YOUR WORK!!! BRAINLY TO WHOEVER CAN GET IT RIGHT
    15·1 answer
  • Find the area please. Round to the nearest tenth if necessary.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!