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
sertanlavr [38]
3 years ago
10

How do I solve these problems?

Mathematics
2 answers:
Arisa [49]3 years ago
8 0

Answer:

-32, -7, 18 and

127, 106, 85

Step-by-step explanation:

You can use the following formula to solve this:

a_{n} = a_{1} + (n - 1)d

a is the nth term in the sequence. So at the 3rd term, n = 3

a₁ is the first term in the sequence. In your first question, a₁ is -32. In your second, a₁ is 127.

(n - 1) represents the term before a, or the term before the current term. So at the 3rd term, (n - 1) = 3-1, which is 2.

d represents the common difference between terms. Aka what you add or subtract to a term to get the next one.

For the first question, you know a₁ and d, so you can substitute them into the equation to find the second and third terms:

a = -32 + (n - 1)25

You also know (n-1), because a is 2 when you're looking for the second term. So (n-1) = 2-1, which is 1. So put that in the formula and simplify:

a = -32 + (1)25

a = -32 + 25

a = -7

The second term is -7. To find the 3rd term, do the same thing.

a = -32 + (n - 1)25

(n-1) is 2, since you're on the third term and n is 3.

a = -32 + (2)25

a = -32 + 50

a = 18

So the first 3 terms are -32, -7, and 18.

For the second one, the formula looks like this:

a = 127 + (n - 1)-21

The first term is 127. Find the 2nd (n is 2):

a = 127 + (1)-21

a = 127 -21

a = 106

Then find the 3rd term (n is 3)

a = 127 + (2)-21

a = 127 -42

a = 85

So the first 3 terms are 127, 106, and 85.

nydimaria [60]3 years ago
4 0

Answer:

- 32, - 7, 18 and 127, 106, 85

Step-by-step explanation:

Add the common difference d to the previous term

(1)

a₁ = - 32

a₂ = a₁ + 25 = - 32 + 25 = - 7

a₃ = a₂ + 25 = - 7 + 25 = 18

The first 3 terms are - 32, - 7, 18

(2)

a₁ = 127

a₂ = a₁ + d = 127 - 21 = 106

a₃ = a₂ + d = 106 - 21 = 85

The first 3 terms are 127, 106, 85

You might be interested in
Base area = 18 ft²<br> Volume=<br> 11 ft<br> 7
LekaFEV [45]

Answer:

nhddhdbndbd

Step-by-step explanation:

jh h benrheoek

6 0
2 years ago
REE PLEASE HELP ASAP!!!!!
Drupady [299]

the last one i think

3 0
3 years ago
Apply the following translation to the point Q (-5, -1):
xxTIMURxx [149]

Answer:

okkk

Step-by-step explanation:

4 0
2 years ago
A line has a slope of -6 over 7. What is the slope of the line parallel to it? And what is the slope of the line perpendicular t
olga_2 [115]
The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6
3 0
3 years ago
Hi, I don't need this really fast, but I really don't understand how to do surface area and lateral surface area with rectangula
ipn [44]

Answer:

The surface area is the area that describes the material that will be used to cover a geometric solid. When we determine the surface areas of a geometric solid we take the sum of the area for each geometric form within the solid.

3 0
2 years ago
Read 2 more answers
Other questions:
  • If f (x) = -2x-3 and g (x) =x^2+5x find g (2) -f(3)
    15·1 answer
  • The area of a rectangle is 8x3 + 6x2 - 10x. The width of the rectangle is 2x. Find the length of the rectangle.
    15·1 answer
  • What is the slope of the line on the graph?<br> WILL GIVE BRAINLIEST
    7·2 answers
  • Could Someone Please answer this? Algebra 1<br> I will mark you brainliest
    12·2 answers
  • A woman bought a necklace for $300 and then sold it for $600. She bought it back for $700 and sold it again for $900. How much d
    5·2 answers
  • If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.
    11·1 answer
  • The population of Dawn land is changing exponentially. This change is modeled by the function f(x) = 60,000(1.01)x . Interpret t
    14·1 answer
  • A box of cereal states that there are 99 calories in a 3/4 cup serving. What is the unit rate for calories per cup? How many cal
    10·2 answers
  • Transcribed Image Text:to the Tledrest tentn. A landscaper wants to place a stone walkway from one corner of the rectangular law
    11·1 answer
  • Plssss i need help<br><br><br><br><br>ASAPP​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!