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
Misha Larkins [42]
2 years ago
13

Can someone help me and explain step by step

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:  5) r = 5, 8th term = -78,125

               6) r = 5, 8th term = -312,500

               7) r = 5, {1, 5, 25, 125, 625}

               8) r = 5, {-4, -20, -100, -500, -2500}

<u>Step-by-step explanation:</u>

The explicit formula of a geometric sequence is: a_n=a_1\cdot r^{n-1}, where;

  • n is the number of the term
  • a₁ is the first term
  • r is the common ratio

5)\ a_n=-5^{n-1}\\.\qquad =-1\cdot 5^{n-1}\quad \rightarrow \quad a_1=-1\ and\ r=5\\\\a_8=-5^{8-1}\\.\quad =-5^7\\.\quad =-78,125\\\\\\6)\ a_n=-4\cdot 5^{n-1}\quad \rightarrow \quad a_1=-4\ and\ r=5\\\\a_8=-4\cdot 5^{8-1}\\.\quad =-4\cdot 78,125\\.\quad =-312,500

7)\ a_1=1\ and\ r=5\\.\quad a_2=1\cdot 5=\boxed{5}\\.\quad a_3=5\cdot 5=\boxed{25}\\.\quad a_4=25\cdot 5=\boxed{125}\\.\quad a_5=125\cdot 5=\boxed{625}\\\\\\\\8)\ a_1=-4\ and\ r=5\\.\quad a_2=-4\cdot 5=\boxed{-20}\\.\quad a_3=-20\cdot 5=\boxed{-100}\\.\quad a_4=-100\cdot 5=\boxed{-500}\\.\quad a_5=-500\cdot 5=\boxed{-2500}\\\\\\

You might be interested in
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does ju
ExtremeBDS [4]
<h2>34</h2>

Step-by-step explanation:

   The minimum charges for the phone service is $35. For, each text message, $0.50 is charged over and above the minimum charges.

   This problem can be modeled as a linear equation in the number of text messages sent as follows:\textrm{Total bill = Minimum charges + (Charge per message)x(Number of messages)}

\textrm{Total Bill = $}35\textrm{ + (Number of messages)x}($0.50)

   Given that the total bill is $52, number of text messages can be easily computed.

52\textrm{ = }35+\textrm{(Number of messages)x}0.50

\textrm{(Number of messages)x0.50 = }52-35=7

\textrm{Number of messages = }\frac{7}{0.5}=14

∴Number of text messages Juan sent = 14.

5 0
2 years ago
What is the 100th term in the sequence 25, 36, 49, 64
Irina18 [472]
<span>25, 36, 49, 64....

5^2, 6^2, 7^2, 8^2......

so at nth term, it is (n+4)^2

100th term = (100+4)^2 = 104^2 = 10816</span>
3 0
3 years ago
Read 2 more answers
Can somebody please help me with this math question
Travka [436]

Answer:

80 is what I got

Step-by-step explanation:

8 0
2 years ago
Plx help me
dezoksy [38]

Answer:

3600 yards

Step-by-step explanation:

  1. 400      900
  2. 800     1800
  3. 1200   2700
  4. 1600   3600
  5. 2000
  6. 2400
  7. 2800
  8. 3200
  9. 3600  
5 0
2 years ago
the partial factorization of 2 x - 3 x - 10 is modeled with algebra tiles which unit tiles are needed to complete the factorizat
nikklg [1K]
The partial factorization of 2 x - 3 x - 10 is modeled with algebra tiles is that you will need 2 x tiles and 4 negative 1 tiles and 3 positive 1 tiles.
3 0
3 years ago
Other questions:
  • 1(10-4•4) 20 divided by -2
    10·1 answer
  • How much money is $120.00 increased by 70%?
    8·2 answers
  • PLEASE HELP?<br> I don’t know why but I’m so lost.
    9·1 answer
  • -3.6, -5.4, -8.1, -12.15 geometric, arithmetic, or neither
    14·1 answer
  • Write an inequality for the graph
    15·1 answer
  • A family of 10 that all leave the house at the same time each morning has two bathrooms. They must share for everyone to be read
    11·1 answer
  • HELP DUE IN 10 MINS! Finish the statement.<br><br> Corresponding sides of similar figures are??
    9·2 answers
  • A farmer wishes to built a fence around a rectangular field; the field is 100 ft. long and 60 feet wide. The fence will be of st
    11·1 answer
  • Alina and Cesar estimated the number of miles they drove during a trip. Alina estimated the number of miles they drove in the mo
    5·1 answer
  • Write an algebraic expression that represents the sum of 18 and the opposite of a number
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!