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
Vadim26 [7]
3 years ago
8

1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

e? (c) Why? (d) What is the 27th term? (Show how to find it and tell me what the 27th term is.)
Mathematics
1 answer:
valentinak56 [21]3 years ago
5 0

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

t_{5} = - 1 + 4 ( -2 )

t_{5} = -1 - 8

t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

You might be interested in
A town has a population of 6000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will
kotykmax [81]

Answer:

5 years.

Step-by-step explanation:

Every year the population increases by a factor 103.5% or  1.035.

The equation relating population and time in years is:

P = 6000(1.035)^t  (This is an example of  exponential growth)

So we have:

7100 = 6000(1.035)^t

(1.035)^t = 7100/6000

(1.035)^t = 1.1833

t ln 1.035 = ln 1.1833

t = ln 1.1833/ln 1.035

= 4.89.

7 0
3 years ago
21 Last year Chelsea and Sonya took 236 pictures during Thanksgiving. This year Chelsea and Sonya each took the same amount of p
Leokris [45]

Let 'c' represent the number of pictures Chelsea took.

Let 's' represent the number of pictures Sonya took.

For last year's Thanksgiving, c + s = 236

For this year's Thanksgiving, let 'x' represent the number of photos taken in total. x = c + s, where c and s are two integers that are the same (c = s).

And we know that for both years, c + s + x = 500.

As we know that c + s is already 236 from last year, we can remove c + s from the equation in bold and replace it with 236 instead.

236 + x = 500.

Now we have to isolate the x term.

x = 500 - 236

x = 264.

We know that x = c + s, where c and s are the same, so we can just use one of the variables and double it (so you either get 2c or 2s - it doesn't matter which one you pick because they're both the same).

2c = 264

c = 132

c = s

s = 132.

Both took 132 pictures this year.

4 0
3 years ago
A 9-meter piece of wire costs $8.64. What is the unit price?
yanalaym [24]

Answer:

$0.96

Step-by-step explanation:

To find the unit price is to find the price of 1 meter.

9m = $8.64

1 m = 8.64 ÷ 9 = $0.96

6 0
3 years ago
What is x2+5x=0? Please show all work!
Alexxandr [17]
X2+5x=0
7x+0
divide both sides by 7
7 divided by 0 is 0
x=0
0=0
7 0
3 years ago
Read 2 more answers
Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV
WITCHER [35]

can you please add the answers to choose from? I'd like to help

4 0
3 years ago
Other questions:
  • Whats 1+1 ?????????? PLEASE IM DUMB
    5·1 answer
  • What’s the correct why to solve
    15·1 answer
  • The sum of 2 numbers is 5 and their difference is 2. Which of the following could the difference of their squares?( i think the
    8·1 answer
  • Which of the following are exterior angles check all that apply?
    14·1 answer
  • Which number is a rational number???
    12·1 answer
  • Find the value of the expression: -2 3/5 x 4 Explain how you found your answer in 2 complete sentences and write your answer in
    6·2 answers
  • a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the p
    11·1 answer
  • Need HELP ASAP PLEASEEEEEEE
    9·2 answers
  • Create a system of equations that has a solution of (1, 2)
    5·1 answer
  • What kind of correlation would you expect to find between the number of computers per school and the number of student per compu
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!