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
Alex_Xolod [135]
2 years ago
13

1) -24, -4, 16, 36, ... Find a23

Mathematics
1 answer:
viktelen [127]2 years ago
7 0

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

You might be interested in
What system of inequalities is represented by the graph?
yarga [219]
As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

y=mx+b

being m the slope of the line and <span>b the y-intercept of it.

On the other hand, if x = 0 then y = b.

First of all we will order the equations above without </span>inequalities<span> like this:

A. </span>y = 5x-1, y = 3x+4
<span>B. </span>y = 5x-1, y = -3x+4
C. y = 5x+1, y = -3x+4
D. y = 5x-1, y = -3x-4<span>

 As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4

Let's analyze A and B. So:

For A, m = 5 and m = 3
For B, m = 5 and m = -3

Therefore, we discard A because of the statement above.

Finally the answer is B. So, the inequalities are:  

(1) y\ \textless \ 5x-1
(2) 3x+y \geq 4

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:

(1) 0\ \textless \ 9
(2) 6 \geq 4

In fact, this is true.


7 0
3 years ago
Which graph best represents the solution to the system of equations shown below? (5 points) y = −4x − 19 y = 2x − 1 A coordinate
Oksana_A [137]

Answer:

Wait wait wait this makes no sense?

Step-by-step explanation:

3 0
2 years ago
A blender runs at 120 volts at 4.16 amps. Calculate power
andrey2020 [161]

Answer:

P = 499.2 Watt

Step-by-step explanation:

p = iv \\ p = 4.16 \times 120 \\ p = 499.2 \: watt

6 0
3 years ago
128 is 74% of what number
GarryVolchara [31]
Percent means parts out of 100
74%=74/100=0.74


'of' means multiply


so
128 is 74% of what means
128=0.74 times what
divide both sides by 0.74
172.97297297297297297297297297297=what
the number is about 173

5 0
3 years ago
|x2+x-20<br> 22-11x+28<br> e:<br> x2-x-30<br> 3x-18
elena-s [515]

Answer:

x2 - 10x - 1994

Step-by-step explanation:

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-10x-1994

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  -1994

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1994 = -1994

Step-2 : Find two factors of  -1994  whose sum equals the coefficient of the middle term, which is   -10 .

     -1994    +    1    =    -1993

     -997    +    2    =    -995

     -2    +    997    =    995

     -1    +    1994    =    1993

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 x2 - 10x - 1994

Processing ends successfully

plz mark me as brainliest :)

6 0
3 years ago
Other questions:
  • 3x-4 when x = 7 how do I do this equation I’m confused
    5·2 answers
  • a lab technician must screen 175 slides under the microscope each week. if she works 7 hours a day, 5 days a week, how many slid
    6·2 answers
  • If the conversion rate is 1 US dollar to 10.7 pesos how many pesos will the customer pay per item
    15·1 answer
  • QUESTION 6
    8·1 answer
  • The simple interest formula is A = P(1 + r)t where P represents the amount originally deposited, r is the interest rate, and A i
    5·1 answer
  • 0.48 is ____% of 1.6. Do not round you answer.
    15·2 answers
  • Eli walk from her house to a friends house in one hour. She can travel the same Distance on her bicycle in 15 minutes. If she ri
    6·1 answer
  • 1 28<br> 3 <br> 140<br> fill in the blanks
    10·1 answer
  • Solve this system by elimination <br> 10x+6y=14<br> -x-6y=-23
    10·1 answer
  • 16:12 give the answer as n:1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!