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
inysia [295]
3 years ago
14

Which term of the series 2187,729,243...is 1/9​

Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

Step-by-step explanation:

Givens

a = 2187

r = 1/3

L = 1/9

what is n

Formula

L = a*r^(n-1)

1/9 = 2187 * (1/3)^(n-1)

1/(9 * 2187) = (1/3)^(n - 1)

1/19683 = (1/3)^(n - 1)

=================

You need to break 19683 down into its prime factors.

19683 = 3* 729

19683 = 3 * 3 * 243

19683 = 3 * 3 * 3 * 81

81 = 3^4 so there are 4 more threes in the breakdown.

19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3

1/19683 = 1/(3)^(7-1)

1/9 is the 6th term in the series.

You might be interested in
Sean has a piece of string 7/8 meter long. He uses 1/5 of the piece of string to tie a package and cuts the rest into 5 equal pi
Olin [163]
Let change 7/8 and 1/5 into decimal point so 0.88 and 0.2 
0.88-0.2 =0.68
then we want 5 equal length so we divided
0.68 / 5 =0.14
6 0
3 years ago
Three cards are chosen at random from a standard 52-card deck. What is the probability that they are not all the same color?
rewona [7]
Three cards are selected from a standard deck of <span>52 </span><span>cards. Disregarding the order in which they are drawn, the possible outcomes are </span><span><span>(<span>52/3</span>)</span></span><span>. Out of these, how many include all cards of the same color (say red)? There are </span><span><span>(<span>13/3</span>)</span></span><span> ways in which you can get all 13 red cards.</span>
8 0
3 years ago
If you add the year of my birth to this year, subtract the year of my 20th birthday and the year of my 85th birthday, and then a
Bas_tet [7]
It's not possible for the result to be 49
7 0
3 years ago
HELP ASAP WIL GIVE BRAINLIEST What is the interquartile range of the data set? {76, 22, 38, 95, 75, 60, 62, 92}
Jet001 [13]
65 would be your answer take all 8 numbers add them up and divide by 8
4 0
3 years ago
Pls help me with this answer
Misha Larkins [42]

student 3 i thin srry if im wrong

6 0
3 years ago
Read 2 more answers
Other questions:
  • Bag of skittles containes 3 colors . red, yellow,, and green - in the ratio of 1:2:5 if there were a total of 32 pieces of candy
    7·1 answer
  • What are one dimensional figures
    8·1 answer
  • 13 dollars to 15 percent
    14·2 answers
  • What is the remainder when 6x+12 is divided by 2x-8.​
    6·2 answers
  • Determine the points of intersection of the line y = -2x + 7 and the parabola y = 2x2 + 3x - 5.
    6·1 answer
  • Determine if the slope of the line graphed below is either positive or negative. Then find the slope (m) of the line
    10·1 answer
  • For brainiest:):):)):):):):):):):)
    15·1 answer
  • How many repeating digits are in the smallest group of repeating digits in the decimal equivalent of the fraction shown? 745/999
    10·2 answers
  • Find the volume of this.<br> Show work.
    10·1 answer
  • Whats 1+1+1+1+1 ÷ 3×2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!