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
kondaur [170]
10 months ago
9

Find the oth term of the geometric sequence 5,--25, 125,

Mathematics
1 answer:
Genrish500 [490]10 months ago
8 0

Given the geometric progression below

5,-25,125,\ldots

The nth term of a geometric progression is given below

T_n=ar^{n-1},\begin{cases}a=\text{first term} \\ r=\text{common ratio}\end{cases}

From the geometric progression, we can deduce the following

\begin{gathered} T_1=a=5 \\ T_2=ar=-25 \\ T_3=ar^2=125 \end{gathered}

To find the value of r, we will take ratios of two consecutive terms

\begin{gathered} \frac{T_2}{T_1}=\frac{ar}{a}=\frac{-25}{5} \\ \Rightarrow r=-5 \end{gathered}

To find the 9th term of the geometric, we will have that;

\begin{gathered} T_9=ar^8=5\times(-5)^8=5\times390625 \\ =1953125 \end{gathered}

Hence, the 9th term of the geometric progression is 1953125

You might be interested in
Tina paid $6.60 for some $0.15 stamps and some $0.20 stamps. She bought 37 stamps in all. How many of each kind did she buy?
sergiy2304 [10]

Answer:

Let n be the number of 25 cent stamps.Then, 28 - n must be the number of 29 cent stamps.Tim paid $7.60 the stamps.

0.25n + 0.29(28 - n) = 7.60

This means that n stamps at 25 cents a piece plus (28 - n) stamps at 29 cents a piece sum to $7.60.Solve for m.

0.25n + 8.12 - 0.29n = 7.60

-0.04n = -0.52

n = 13

So, Tim bought 13 25-cent stamps and 28 - 13 = 15 29-cent stamps

Step-by-step explanation:

hope this helps:)

4 0
2 years ago
Ill give brainiest, dont guess please
andrew-mc [135]

I don't know the first one but the second one is The second national bank was chartered in 1816.

4 0
2 years ago
Read 2 more answers
A carton of paper is priced at 27.00 now if the paper goes on sale for 25% off the current price what will be the sale price of
hjlf

Okay, to solve this we simply find 75% of the carton of paper, because 100%-25% = 75%

0.75(27) = 20.25

The carton of paper costs $20.25

4 0
2 years ago
Mr. Sanchez buys 5 shirts and 3 ties for $34. At
Nastasia [14]

Answer:

y < x + 7

Step-by-step explanation:

7 0
2 years ago
Please Help me with this question
Olegator [25]

Answer:

look up mixed numbers calculator by calculator soup, and then you can find all of your answers! Its an amazing website! good luck (:

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • 20 POINTS!!!!!!! PLZ HELP I HAVE 3 MINS. On Saturday, the bookstore sold x books. On Sunday, the bookstore sold 2 more books tha
    6·2 answers
  • Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99​% of all males.​ (Accommodating 100
    14·1 answer
  • Rewrite the expression using the<br> distributive property.<br> 2(7b+ 3) =
    12·2 answers
  • Given the function rule f(x)=x2-4x+3 what is the output of f(-3)
    9·1 answer
  • Find the total surface area of the
    11·1 answer
  • PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME PLEASE HELP ME
    12·1 answer
  • Solve<br> n + 11 = -2<br> How do i solve this
    15·1 answer
  • (f) A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/8 cup of brown sugar.
    7·2 answers
  • An angle of 1.5 rad intercepts an arc on the unit circle. what is the length of the intercepted arc?
    11·1 answer
  • a teacher promised a movie day to the class that did better, on average, on their test. The box plot shows the results of the te
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!