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
Solve the equation 0.35(x+4)=0.25(x-6)
creativ13 [48]
x = -29

because
0.35x +1.4=0.25x-1.5
-0.25x            -0.25x
_____________________
0.1x + 1.4 =  -1.5
         -1.4      -1.4
_________________________
0.1x          =-2.9
____        _____
0.1               0.1
     x =  -29


5 0
3 years ago
A survey asked a group of students to choose their favorite type of sport from the choices of soccer, softball, basketball, and
jolli1 [7]
The answer would be 12 students. 8+4+6+3=21. 
     84 divided by 21 would = 4. 
  3 students times 4 = 12 students
3 0
3 years ago
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS IM BEGGING U
Artyom0805 [142]

Answer:

A

Y-Intercept is -2

X then Y so it would be -2,-4

7 0
2 years ago
Read 2 more answers
Help please thank you if u do!
dmitriy555 [2]
I think d but i might be wrong :( sorry
7 0
3 years ago
Read 2 more answers
The length of a rectangle is 2 ft longer than its width. if the perimeter of the rectangle is 32 ft , find its area.
mash [69]
The length of would be 9 and the width 7, resulting in an area of 63
3 0
3 years ago
Other questions:
  • What has bark but doesnt bite?
    7·2 answers
  • millie has a box of 1 hundresds cubes she also has a bag of 70 cubes how many trains of 10 cubes can she make
    5·1 answer
  • I really need help with these..
    13·1 answer
  • what is one possible value of x for which the function g above is undefined? g(x) = √(x-1) (x-2) note: √ iss the root sign
    7·1 answer
  • Simon drove for 2 1/2 hours to get from his house to the beach. Simon averaged 55 miles per hour on the trip. What is the distan
    11·1 answer
  • Seven - tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all
    7·1 answer
  • Find the area of the composite figure below.<br> 4,3,3,2,2
    13·1 answer
  • Four runners are training for long races. Jay runs 5.832 miles, Andre runs 6.254 miles, Luke runs 6.9 miles, and Dawson runs 9 m
    10·1 answer
  • Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Which inequality can be used to find out how much he
    13·1 answer
  • A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!