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
Luda [366]
3 years ago
10

For the following geometric sequence, find the explicit formula. {1, -3, 9, ...} an = -3 · an - 1 where a1 = 1 an = -3 · an - 1

where a1 = -1 an = -1 · (-3)n - 1 an = (-3)n - 1
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0
{ 1,-3,9...}

an = a1 * r^(n-1)
a1 = first term = 1
r = common ratio = -3

so ur formula is : an = 1 * -3^(n-1)
jeka943 years ago
6 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given geometric sequence is

{1, -3, 9, ...}

Here the first term of the sequence is 1 and the common ratio is

r=\frac{a_2}{a_1}=\frac{-3}{1}=-3

The explicit formula of a geometric sequence is

a_n=ar^{n-1}

In the given geometric sequence a=1 and r=-3.

Substitute a=1 and r=-3 in the above formula.

a_n=(1)(-3)^{n-1}

a_n=(-3)^{n-1}

The explicit formula of given geometric sequence is a_n=(-3)^{n-1}.

Therefore the correct option is 4.

You might be interested in
Timed please help :))
Sphinxa [80]

It's the first one :))

3 0
3 years ago
DUE IN 5 MINUTES PLZ HELP LOL:)
katen-ka-za [31]

1) Yes

2) 5 minutes

3) 2 minutes

Step-by-step explanation:

1: Yes because, using the vertical line test, the line will cut the graph once meaning that the graph will form a function

2: 5 minutes because the horizontal line represents that she rested, therefore she was at the park for five minutes

3: 2 minutes because she traveled and reached home between 6 and 8 minutes

3 0
2 years ago
Read 2 more answers
GEOMETRY are these congruent or not?
melisa1 [442]
No BC it's ssa............
5 0
3 years ago
In the first generation there are 4 monkeys on an island. Every generation after that the monkey population doubles. In generati
UNO [17]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Mr. Martinez wants to get a cell-phone plan. He has
patriot [66]
I think Deal B correct me if im wrong..
4 0
3 years ago
Other questions:
  • Write two equivalent expressions to the following radical expression: (√104 * √124)8
    12·1 answer
  • How many ways are there for eight men and five women to stand in a line so that no two women stand next to each other? [hint: fi
    12·1 answer
  • Solve for ∡4.<br> PLS SOLVE ASAP!!!!
    12·2 answers
  • X + (2x + 40) + (3x – 50) = 15,002
    12·2 answers
  • Help please ASAP thanks
    7·1 answer
  • the list shows how much yarn mary has= 1/3 red yarn, 2/9 white yarn, 2/6 blue yarn what is the total amount of yarn mary has?
    8·1 answer
  • I have 10 minutes please help
    13·1 answer
  • PLS ANYONE HELP ME!!<br><br> Write an equation for 96% of what number is 24?
    5·1 answer
  • the area of a parallelogram is 48cm².if the two adjacent sides are 8cm and 6cm, find the length of its diagonal .​
    9·1 answer
  • What is the answer to this?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!