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
Nana76 [90]
3 years ago
9

Find the 12th and 37th term for each arithmetic sequence.

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

Answer:

  3.  f(12) = -10; f(37) = -60

  4.  f(12) = -102; f(37) = -352

Step-by-step explanation:

3. Put the numbers in the formula and do the arithmetic:

  f(12) = 12 -2(12-1) = 12 -22 = -10

  f(37) = 12 -2(37-1) = 12 -72 = -60

__

4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

Your sequence has a first term a1=8 and a common difference d=-10.

As above, fill in the numbers and do the arithmetic.

  f(12) = 8 -10(12 -1) = -102

  f(37) = 8 -10(37-1) = -352

You might be interested in
Define Following:consistent equations
mario62 [17]

Answer:

1. Consistent equations

x + y = 3

x + 2·y = 5

2. Dependent equations

3·x + 2·y = 6

6·x + 4·y = 12

3. Equivalent equations

9·x - 12·y = 6

3·x - 4·y = 2

4. Inconsistent equations

x + 2 = 4 and x + 2 = 6

5. Independent equations

y = -8·x + 4

8·x + 4·y = 0

6. No solution

4 = 2

7. One solution

3·x + 5 = 11

x = 2

Step-by-step explanation:

1. Consistent equations

A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.

x + y = 3

x + 2·y = 5

2. Dependent equations

A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.

3·x + 2·y = 6

6·x + 4·y = 12

3. Equivalent equations

These are equations with the same roots or solution

e.g. 9·x - 12·y = 6

3·x - 4·y = 2

4. Inconsistent equations

Inconsistent equations are equations that are not solvable based on the provided set of values in the equations

e.g. x + 2 = 4 and x + 2 = 6

5. Independent equations

An independent equation is an equation within a system of equation, that is not derivable based on the other equations

y = -8·x + 4

8·x + 4·y = 0

6. No solution

No solution indicates that the solution is not in existence

Example,  4 = 2

7. One solution

This is an equation that has exactly one solution

Example 3·x + 5 = 11

x = 2

3 0
3 years ago
Which value in the replacement set is a solution to this equation? 2n + 5 = 27 Replacement set: {11, 12, 13} Drag the solution i
Alchen [17]
11 is the answer to your question.

2×11=22

22+5=27
6 0
3 years ago
Fourth term of sequence is 216, sixth term 96
My name is Ann [436]
312 I think, hop[e this helps
4 0
3 years ago
Jonathan sold five times as many computers as Joe sold last year. In total,
Rom4ik [11]

Answer:

Step-by-step explanation:

Let the number of computers sold by Joe be represented by variable X

If Jonathan sold 5 times as many computers , it means he sold 5 times X= 5X

Total number of computers sold by both Jonathan and Joe = 78

Hence, X+5X =78

= 6X = 78

Divide both sides by 6 to solve for X;

X = 78/6

X = 13

And 5X = (5* 13) = 65

Therefore, Jonathan sold 65 computers while Joe sold 13

3 0
3 years ago
What is (5 1/2 +2 3/4)-3 1/2​
user100 [1]

Answer:

answer is 119/4

Step-by-step explanation:

51/2+23/4-3/2=102+23-6/4=119/4

5 0
3 years ago
Other questions:
  • The following information was reported in an article in a newspaper. A sheriff reported that investigators found 7.5 kilograms o
    10·1 answer
  • Determine the 12th term of the sequence 5,15,45,...
    11·1 answer
  • 2×3×5×7 is the prime factorization of what number?
    9·1 answer
  • Enter the slope-intercept equation of the line that has slope 12 and y-intercept<br> (0,3).
    8·1 answer
  • 6 pints = to how many quarts=
    9·1 answer
  • Please help !!!!!!!!
    15·1 answer
  • Find the equation of the line.​
    7·1 answer
  • B Use your answer to write 48 cubed as a product of its prime factors in index form.
    9·1 answer
  • What is true about discrete and continuous random variables?
    12·1 answer
  • I need a little help -
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!