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
Dennis_Churaev [7]
3 years ago
6

Given the sequence:1,-1/3,1/9,-1/27,... Find

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

We can find the following pattern:

a_1 = 1 = (-1)^0\cdot\dfrac{1}{3^0}

a_2 = -\dfrac{1}{3} = (-1)^1\cdot\dfrac{1}{3^1}

a_3 = \dfrac{1}{9} = (-1)^2\cdot\dfrac{1}{3^2}

a_4 = \dfrac{1}{27} = (-1)^3\cdot\dfrac{1}{3^3}

We can deduce the generic rule

a_n = (-1)^{n-1}\cdot\dfrac{1}{3^{n-1}}

And thus

a_{15} = (-1)^{14}\cdot\dfrac{1}{3^{14}}

With this rule, you can compute the 5th, 6th, 7th, 8th, 9th and 10th element and sum them.

You might be interested in
Please help!! Needed ASAP!!
AnnZ [28]
1. Dan preheated the oven.
2. It reached the temperature he set it to.
3. Graph 1
4. Graph 3
5. A car eases into the highway and comes to a sudden stop and stays like that for a while. It begins to drive at the highway’s speed until it exits and stops at home.

I hope I helped!
7 0
3 years ago
What is the best way to 7x7 in expanded form?
zhenek [66]
You just have to write it down (7.7.7.7.7.7.7=49)
3 0
3 years ago
Read 2 more answers
PLEASE HURRY -4 3/5 divid by 1 1/5
kaheart [24]

The answer is: -3 5/6

Hope this helped :3

4 0
3 years ago
What type of table has the largest area
Helen [10]

Answer:

The Rectangular Table Has The largest area of 1460 in^2

7 0
3 years ago
Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).
Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

y=ab^x

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

8=ab^4       ...(1)

32=ab^6       ...(2)

Divide equation (2) by equation (1).

\dfrac{32}{8}=\dfrac{ab^6}{ab^4}

4=b^2

Taking square root on both sides.

2=b

Put b=2 in (1).

8=a(2)^4

8=16a

\dfrac{8}{16}=a

0.5=a

Substitute a=0.5 and b=2 in the given general exponential equation.

y=0.5(2)^x

Therefore, the correct option is C.

8 0
3 years ago
Other questions:
  • Tabatha we shooting free throws in gym class she completed nine of the shots which was the third of four more than Joan complete
    10·1 answer
  • Number 46 please last question
    8·2 answers
  • Baby Ethan wants to arrange 4 blocks in a row. How many different arrangements can <br> he make?
    7·1 answer
  • 12.83333 round to the nearest whole number
    8·2 answers
  • Just need help on the ones that are circled .
    14·1 answer
  • How much would 1 case of each fruit cost together? Grid in tori answer as dollars.cents
    11·1 answer
  • Explain the answer thanks
    7·2 answers
  • Do these pairs of values (x and y) represent two quantities that are
    6·1 answer
  • 100 POINTS AND BRAINLY
    11·2 answers
  • Find the value of the missing angle in this triangle show work on how you found the answer.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!