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
Leto [7]
3 years ago
9

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

\frac{-1}{2}

\frac{\frac{1}{2}}{-1}

\frac{\frac{-1}{4}}{\frac{1}{2}}

They are all equal to \frac{-1}{2}.

So we are saying:

\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}

More formally:

\frac{a_n}{a_{n-1}}=\frac{-1}{2}.

Multiply both sides by a_{n-1}:

a_n=\frac{-1}{2}a_{n-1}

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

You might be interested in
Explain how the values of h and k in y=|x-h|+k affect the graph of y=|x|
Dvinal [7]

Answer:

Horizontal shift:

For the parent function f(x) and a constant h, the function given by   g(x) = f(x-h)  can be sketched by shifting f(x) h units horizontally.

The values of h determines the direction of shifts:

If :

  • h>0, the parent graph shifts h units to the right
  • h < 0, the parent graph shifts h units to the left.

Vertical shifts:

For the parent function f(x) and  a constant k, the function given by  g(x) =f(x) +k  can be sketched by shifting f(x) k units vertically.

The value of k determines the direction of shifts;

if:

  • k > 0, the parent graph shifts k units upward, and
  • k < 0, the parent graph shifts k units downward.

Therefore, the values of  h and k in y=|x-h|+k affect the graph of y=|x| tells us how far the graph shifts horizontally and vertically.



8 0
3 years ago
Help this is math i hate math
Helga [31]

Answer:

3 2/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which equation represents the function on the graph?
Marrrta [24]

Answer:

A. Sin 2x

Step-by-step explanation:

This is a trig function and has the shape of sine or cosine. Since it intersects at (0,0), it is likely a sine graph. A normal sine graph starts at (0,0), crests up at 1, and crosses back down at the x-axis at (3.14, 0). However, this graph starts at (0,0) and crosses back again at half that value. This graph has been horizontally compressed by multiplication of a number greater than 1. So this graph is Sin 2x.

6 0
3 years ago
There is two questions please help me
pav-90 [236]
36cm
13.6in. my mom helped
3 0
3 years ago
Read 2 more answers
Pls Help. No fake answers. I need this Done soon, and I am willing to give brainlist to someone who does all of them.
elena-14-01-66 [18.8K]

Answer:

the graphs are blurry, sorry :c

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Przeciętny orzeł waży 1,68 kg, a przeciętny wróbel - 25 g. Mózg orła waży 14 g, a mózg wróbla - 1 g. Oblicz, jakim procentem mas
    9·1 answer
  • Sandi had the following problem on her math test:6•4+2÷2-7
    9·1 answer
  • A house painter charges $14 per hour for the first 45 hours he works, time and a half for the 10 hours after that, and double ti
    5·1 answer
  • The perimeter of a tennis court is 210 feet if the tennis court is 27 feet wide what is the length
    15·1 answer
  • 949,500 round to the hunderd thusand
    5·1 answer
  • What is the simplest form of √324x^6y^8?
    6·1 answer
  • Which is the least time 9.675,9.7,9.75
    11·1 answer
  • The express bus from Dublin to Belfast takes x minutes. The standard bus takes 29 minutes longer. Write down an expression for t
    6·2 answers
  • HELP ASAP! Look at pic :,)
    11·1 answer
  • Write the equation of the line in fully simplified slope-intercept form.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!