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
MArishka [77]
4 years ago
12

Formulate the recursive formula for the following geometric sequence. {-16, 4, -1, ...}

Mathematics
1 answer:
o-na [289]4 years ago
6 0

Answer:

a_{n} =\frac{-a_{n-1}}{4}.

Step-by-step explanation:

We are given a geometric sequence { -16, 4, -1, .... }

i.e. a_{1} =-16, a_{2} =4, a_{3} =-1, ...

We will first find the common ratio 'r'.

Now, r=\frac{a_{n}}{a_{n-1}}

i.e. r=\frac{a_{2}}{a_{1}}

i.e. r=\frac{4}{-16}

i.e. r=\frac{1}{-4}

Similarly, i.e. r=\frac{a_{3}}{a_{2}}

i.e. r=\frac{-1}{4}

So, we get that the common ratio is r=\frac{-1}{4}.

Now, the recursive formula for the geometric sequence is given by,

a_{n} =r \times a_{n-1}

i.e. a_{n} =\frac{-1}{4} \times a_{n-1}

i.e. a_{n} =\frac{-a_{n-1}}{4}.

Hence, the recursive formula for this sequence is a_{n} =\frac{-a_{n-1}}{4}.

You might be interested in
What expression is represented in the algebra tiles?
aleksklad [387]
I think it might be 2x^2 + 2x + 2xy
8 0
4 years ago
Which would be an equivalent way to write y=2−3x?
Ipatiy [6.2K]
Some are
y-2=-3x
y+3x=2
3x=2-y
6 0
4 years ago
Read 2 more answers
How do you solve this?
dolphi86 [110]
You X to the second power.. 4 to the second power is 16 and 16-16=0 so x=4
3 0
4 years ago
Read 2 more answers
Rectangle OPEN has diagonals intersecting at S. If m∠ENP=42 find m∠ EON, m∠ONP, m∠OSP, and m∠PSE
poizon [28]

Answer:

m∠EON = 48°

m∠ONP = 48°

m∠PSE = 90°

4 0
3 years ago
I need help please and thank you
daser333 [38]
37 is the answer of this. Hope this helps :)
7 0
4 years ago
Read 2 more answers
Other questions:
  • four states have names that begin with the letter A. this represents 0.08 of all states. write 0.08 as a fraction
    5·2 answers
  • Classify PKM and NKO check all names that apply
    13·1 answer
  • Really needing help with this problem
    11·2 answers
  • Given the functions f(x) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from least to greatest based on their ax
    15·1 answer
  • Describe how the graph of g(x) is related to the graph of f(x) = 1?/x
    15·1 answer
  • Are these angles supplementary or congruent,
    7·1 answer
  • Guys please help me find the answer
    11·1 answer
  • Can someone help please!
    7·1 answer
  • Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram.
    9·1 answer
  • What is the Vertex and Y-intercept of f(x)=3x^2-6x+4? Please show your work.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!