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
Serjik [45]
3 years ago
13

Identify the missing terms in the given arithmetic sequence. 5, ?, ?, ?, -9.

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

the whole sequence is

5, 1 1/2, -2, -5 1/2, -9

the missing elements were

1 1/2, -2, -5 1/2

Step-by-step explanation:

an arithmetic sequence means that there is always constant added or subtracted from the previous term to create the next term.

we know, we need to go 4 steps or terms to get from 5 to -9.

5 + c = ?

5 + c + c = ??

5 + c + c + c = ???

5 + c + c + c + c = -9

5 + 4c = -9

4c = - 14

c = -14/4 = -7/2

so, we get

? = 5 + -7/2 = 10/2 - 7/2 = 3/2 = 1 1/2

?? = 3/2 - 7/2 = -4/2 = -2

??? = -4/2 - 7/2 = -11/2 = -5 1/2

and the next step is -11/2 - 7/2 = -18/2 = -9

correct.

You might be interested in
What is the midpoint of the segment joining the points (4, -2) and (-8, 6)? A. (6,4)
kvasek [131]

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 + 4}{2}~~~ ,~~~ \cfrac{ 6 -2}{2} \right)\implies \left( \cfrac{-4}{2}~~,~~\cfrac{4}{2} \right)\implies (-2~~,~~2)

6 0
3 years ago
Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina
Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = \frac{2}{5} × ( A - 1600 )

The amount left in his saving account = \frac{1}{3} × A

Now, According to question

A - ( 1600 +  \frac{2}{5} × ( A - 1600 ) ) =  \frac{1}{3} × A

Or, A -  \frac{1}{3} × A = 1600 +   \frac{2}{5} × ( A - 1600 )

Or, \frac{2}{3} × A = 1600 + \frac{2}{5} × A - \frac{2}{5} × 1600

or,  \frac{2}{3} × A -  \frac{2}{5} × A = 1600 - 640

Or,  \frac{10 - 6 }{15} × A = 960

or,  \frac{4}{15} × A = 960

∴ A = \frac{960\times 15}{4}

I.e A = 3600

So, The amount in the saving account  is $3600

∵ , The amount spent on refrigerator = \frac{2}{5} × ( 3600 - 1600 )

Or,  The amount spent on refrigerator = \frac{2}{5} × 2000

I.e  The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0
4 years ago
What is the diameter of 4cm
Harman [31]

Answer: 8cm

Step-by-step explanation:

If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.

5 0
3 years ago
Read 2 more answers
Can someone please please answer this and explain it? my math teacher didn’t :( will give brainliest points for explanation!!! (
AnnZ [28]

Answer:

QR = 1

Step-by-step explanation:

PR = PQ + QR

PR = x + 19

PQ = 9

So now put what you know in the equation above.

PR = 9 + 2x + 19

PR also equals x + 19

so

x + 19 = 9 + 2x + 19

x + 19 = 2x + 28

19 - 28 + x = 2x

-9 + x = 2x

-9 = 2x - x

-9 = x

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

QR = 2x + 19

QR = 2*-9 + 19

QR = -18 + 19

QR = 1

This really is kind of a nasty question. You don't expect to get a minus number of x.

8 0
3 years ago
Can u change order of operations ?
Anni [7]

Answer:

its best no to

Step-by-step explanation:

The only thing you can really change is switching subtraction and addiction, or division and multiplication. In the long run though its best just to say with the regural order and its earier later on.

please, (parentheses)

excuse (exponents)

my (multipliction)

dear (division)

aunt (addiction)

sally (subtraction)

7 0
3 years ago
Other questions:
  • The sum of (2x – 5y) and (x + y)?
    10·2 answers
  • 2,4,6,8 find the 36th term
    6·2 answers
  • PLEASE HELP 10 POINTS WILL GIVE BRAINLIEST: Which geometric solid is the best model for the head of a human being?
    10·1 answer
  • Solve the inequality<br> -5a-12&lt;-18
    13·2 answers
  • Complete a table for the rule y = x2 + 2. Use negative and positive values and 0 for x
    8·1 answer
  • A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2
    8·1 answer
  • Find the k, in (2x^2 - 3x + k)/ x-4
    12·1 answer
  • Which pair of expressions has equivalent values? 1 Superscript 13 and 1 Superscript 15 6 Superscript 1 and 9 Superscript 1 7 Sup
    7·2 answers
  • The functions (x) and g(x) are defined below.
    15·1 answer
  • The dot plots show the heights of boys and girls at a summer camp.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!