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
QveST [7]
2 years ago
5

Help please!!!!!!!!!!!!!

Mathematics
2 answers:
dedylja [7]2 years ago
5 0

Answer:

position         1             5             8                12               19             25

term              -8            8             20             36               64            88

Step-by-step explanation:

(n - 1) is position ( n ∈ N)

d is the distance between the numbers in the sequence

a1 is the first number in the sequence

we have the fuction: a(n) = a1 + (n - 1)d

see in the table, with position = 1, term = -8 => a1 + d = -8

                                    position = 25, term = 88 => a1 + 25d = 88

=> we have: a1 + d = -8

                     a1 + 25d = 88

=> a1 = -12

    d = 4

=> a(n) = -12 + 4(n - 1)

=> term = 8, position = (8 + 12)/4 = 5

    position = 8, term = -12 + 4.8 = 20

    term = 36, position = (36 + 12)/4 = 12

    position = 19, term = -12 + 4.19 = 64

xxMikexx [17]2 years ago
5 0

Answer:

The required table is:

Position   1     5       8      12      19      25

Term      -8     8      20     36     64     88  

Step-by-step explanation:

The general formula for arithmetic sequence is:

a_n=a_1+(n-1)d

where n is the nth term, a₁ is the first term and d is the difference.

Looking at the table, we know that

a₁ = -8 and

a₂₅ = 88

We can find the common difference d:

a_n=a_1+(n-1)d\\n=25, a_1=-8, a_{25}=88\\a_{25}=a_1+(25-1)d\\88=-8+24(d)\\88+8=24\:d\\96=24\:d\\d=\frac{96}{24}\\d=4

So, we have d = 4

Now we can fill the remaining table.

We have to find position n, when term (a_n) is 8

a_n=a_1+(n-1)d\\8=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\8+12=4n\\20=4n\\n=\frac{20}{4}\\n=5

So, when term is 8, position is 5

We have to find term a_n when position n is 8

a_n=a_1+(n-1)d\\a_8=-8+(8-1)4\\a_8=-8+7(4)\\a_8=-8+28\\a_8=20

So, when position is 8 term is 20

We have to find position n, when term (a_n) is 36

a_n=a_1+(n-1)d\\36=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\36+12=4n\\48=4n\\n=\frac{48}{4}\\n=12

So, when term is 36, position is 12

We have to find term a_n when position n is 19

a_n=a_1+(n-1)d\\a_{19}=-8+(19-1)4\\a_{19}=-8+18(4)\\a_{19}=-8+72\\a_{19}=64

when position is 19 term is 64

So, the required table is:

Position   1     5       8      12      19      25

Term      -8     8      20     36     64     88  

You might be interested in
What is there area to this?​
borishaifa [10]

Answer:

The total area of the figure is 52 in²

Step-by-step explanation:

This figure requires you to find the area of the square and the triangle separately, and then subtract the area of the triangle from the area of the square.

Find the area of the square

l=8in

A=l²

A=8²

A=64 in²

The area of the square is 64 in²

Find the area of the triangle

b=8in

h=3in

A=(bh)/2

A=(8*3)/2

A=24/2

A=12 in²

The area of the triangle is 64 in²

Now we need to subtract the areas

64-12=52 in²

The total area of the figure is 52 in²

8 0
3 years ago
PLS anwser this simple question
MakcuM [25]

Answer:

It's A) 2b+24x

Step-by-step explanation:

5 0
2 years ago
Find the volume of a pyramid with a square base, where the side length of the base is
Orlov [11]

Answer:

2896.34 cubi centimetres

Step-by-step explanation:

7 0
3 years ago
I need help on this
Evgen [1.6K]

Answer:

the last one talking about victoria has y dollars

Step-by-step explanation:

x times 12 is equal to y, so the equation is y = 12x

6 0
2 years ago
Read 2 more answers
Is the length of your classroom greater than or less than one kilometer?
Y_Kistochka [10]
That would depend on the size of your classroom. but, typically the answer is no
3 0
2 years ago
Read 2 more answers
Other questions:
  • Please help !!!!!!!!!!’
    13·2 answers
  • Helpppppp i dont know this 6677x+27776677y=
    8·1 answer
  • What are 2 common denominators for 1/5 and 1/3
    11·2 answers
  • NEED HELP NOW!!!!
    7·1 answer
  • ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
    15·2 answers
  • Subtract 4/9 and 1/5 in the simplest form
    10·2 answers
  • Need help ASAP !!!<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5757%20%5Ctimes%205757%7D%20" id="TexFormula1" titl
    6·1 answer
  • Can someone please help me with this.
    7·1 answer
  • On a piece of paper, graph y= -2x - 3. Then determine which answer<br> matches the graph you drew.
    6·1 answer
  • Two-Variable Statistics:Question 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!