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
ahrayia [7]
3 years ago
6

Write an explicit formula for a^n the nth term of the sequence 1,3,9....

Mathematics
1 answer:
frutty [35]3 years ago
7 0

Answer:

  a_n = 3^(n -1)

Step-by-step explanation:

The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...

  a_n = a1·r^(n-1)

Your sequence has first term 1 and ratio r=3, so the sequence is given by ...

  a_n = 3^(n -1)

_____

<em>Comment on sequences and series</em>

The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.

You might be interested in
Convert: 70 mm = _____ m
GaryK [48]
Correct answer is
0.07 m
8 0
3 years ago
Read 2 more answers
Each spring, Rachel starts sneezing when the pear trees on her street blossom. She reasons that she is allergic to pear trees. F
horsena [70]

Answer:

Seasonal allergies

Step-by-step explanation:

She migtht have seaonal allergies

3 0
3 years ago
9.
levacccp [35]
8cm high dudeiooooooo
5 0
3 years ago
What is the median number of snacks sold ?
trapecia [35]

Answer:

I am 95% sure that the answer is 54

Step-by-step explanation:

Hope this helps :)

4 0
2 years ago
Write an inequality for the given statement: The sum of –18 and a number is more than 22.
tia_tia [17]
Let that number be 'x'

So the inequality will be
- 18 + x > 22

or x - 18 > 22

Hope This Helps You!
7 0
3 years ago
Other questions:
  • HELP I ONLY HAVE 15 MIN HURRY numbers 9 and 10​
    6·2 answers
  • Express 11.11 as a mixed number.
    12·2 answers
  • What do you guys think?
    14·1 answer
  • What is the volume of a square pyramid with a base length of 5 cm and a height of 6 cm?
    13·1 answer
  • Ashton picked 6pounds of pecans.he wants to share the pecans equally among 5 of his neighbors.how many pounds of pecans will eac
    6·1 answer
  • Select the graph that matches the function y = 3x + 7.
    5·2 answers
  • Describe how to use absolute value to find the distance between –11 and 8 on a number line. Then use this method to determine th
    13·2 answers
  • Hii! hopefully you can answer this :)
    14·2 answers
  • jackie is saving money for a coat that costs $121 if she already has $61 and saves $15 each week in how many weeks can she buy t
    11·1 answer
  • How many solutions does the system have?<br> y = x + 1<br> y = 2x - 5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!