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
Over [174]
3 years ago
5

A sequence has a second term of 1 and a common difference of -3. The fifth term of the sequence is _____. -11 -8 -5 10

Mathematics
2 answers:
kondor19780726 [428]3 years ago
5 0

Answer:

- 8

Step-by-step explanation:

The terms in an arithmetic sequence ar

a, a + d, a + 2d, ...... , a + (n - 1)d

Each term in the sequence is obtained by adding the common difference (d) to the previous term, that is

a₂ = 1

a₃ = a₂ + d = 1 - 3 = - 2

a₄ = a₃ + d = - 2 - 3 = - 5

a₅ = a₄ + d = - 5 - 3 = - 8

guapka [62]3 years ago
4 0

Answer:

-8

Step-by-step explanation:

Let the sequence be X.

Xn=a+(n-1)*d

where, n: nth term

a: first term

d: common difference

Given, X2=1

Then, 1=a+(2-1)*-3

or,a=1+3=4

So,X5=4+(5-1)*-3

or,X5=4+(4*(-3))

or,X5=4-12=-8

You might be interested in
7.
IRINA_888 [86]

Answer:

-  \frac{1}{2}  {n}^{2}  + 18 = 0 \\ -  \frac{1}{2} {n}^{2}  =  - 18 \\  {n}^{2}  =  - 18 \times  - 2 \\  {n}^{2}  = 36 \\ n =   +  - \sqrt{36}  \\ n =  +  - 6

4 0
3 years ago
Read 2 more answers
Absolute value of -392
Tema [17]

Answer:392

i need help plz help and here is a explanation i hope this helped

step-by-step :

Formally, the absolute value of a number is the distance between the number and the origin. This is a much more powerful definition than the "makes a negative number positive" idea. It connects the notion of absolute value to the absolute value of a complex number and the magnitude of a vector.

The absolute value of x, denoted "| x |" (and which is read as "the absolute value of x"), is the distance of x from zero. This is why absolute value is never negative; absolute value only asks "how far?", not "in which direction?" This means not only that | 3 | = 3, because 3 is three units to the right of zero, but also that | –3 | = 3, because –3 is three units to the left of zero. You can see this on the following number line:

abs(-3) = abs(3) = 3

Warning: The absolute-value notation is bars, not parentheses or brackets. Use the proper notation; the other notations do not mean the same thing.

It is important to note that the absolute value bars do NOT work in the same way as do parentheses. Whereas –(–3) = +3, this is NOT how it works for absolute value:

Simplify –| –3 |.

Given –| –3 |, I first need to handle the absolute-value part, taking the positive of the insides (the "argument of" the absolute value) and then converting the absolute value bars to parentheses:

–| –3 | = –(+3)

Now I can take the negative through the parentheses:

–| –3 | = –(3) = –3

As this illustrates, if you take the negative of an absolute value (that is, if you have a "minus" sign in front of the absolute-value bars), you will get a negative number for your answer.

Side note: When typing math as text, such as in an e-mail, the "pipe" character is usually used to indicate absolute values. The "pipe" is probably a shift-key somewhere north of the "Enter" key on your keyboard. While the "pipe" denoted on the physical keyboard key may look like a "broken" line, the typed character should display on your screen as a solid vertical bar. If you cannot locate a "pipe" character, you can use the "abs()" notation instead, so that "the absolute value of negative 3" would be typed as "abs(–3)".

Here are some more example simplifications:

Simplify | –8 |.

| –8 | = 8

Simplify | 0 – 6 |.

| 0 – 6 | = | –6 | = 6

Simplify | 5 – 2 |.

| 5 – 2 | = | 3 | = 3

Simplify | 2 – 5 |.

| 2 – 5 | = | –3 | = 3

Simplify | 0(–4) |.

| 0(–4) | = | 0 | = 0

Why is the absolute value of zero equal to "0"? Ask yourself: How far is zero from 0? Zero units, right? So | 0 | = 0.

Simplify | 2 + 3(–4) |.

| 2 + 3(–4) | = | 2 – 12 | = | –10 | = 10

Simplify –| –4 |.

–| –4| = –(4) = –4

In the next three examples, pay particular attention to the difference that the location of the square makes, with respect to the "minus" signs.

Simplify –| (–2)2 |.

–| (–2)2 | = –| 4 | = –4

Simplify –| –2 |2

–| –2 |2 = –(2)2 = –(4) = –4

Simplify (–| –2 |)2.

(–| –2 |)2 = (–(2))2 = (–2)2 = 4

5 0
3 years ago
What is the nth term of 12 10 8 6 4 ?
tino4ka555 [31]

Answer:

-4

Step-by-step explanation:

The difference from each number is 2 so u keep subtracting 2 from each term until u get to the nth term. For ex: 12-2=10, 10-2=8, 8-2=6...

7 0
3 years ago
This is the graph of f(x). What is the value of f(3)?
Paul [167]

Answer:

The value of f(3) is 8 ⇒ D

Step-by-step explanation:

  • In the function f(x) = y, y is the corresponding value of x
  • Ex: If f(a) = b, then the value of y = b at x = a

Let us solve the question

∵ The given figure represents the function f(x)

→ That means every point on the graph represents f(x) = y

∴ f(x) = y

∵ We need to find f(3)

→ That means we need the value of y at x = 3

∴ x = 3

Look at the graph and find the y-coordinate of the point that lies on the curve and has x-coordinate = 3

→ Each small square on the x-axis represents 1 unit, and on the y-axis

   represents 2 units

∵ There is a point on the graph that has x-coordinate = 3

∵ The y-coordinate of this point is 8

∴ The point (3, 8) lies on the graph of f(x)

∴ x = 3 and y = 8

∴ f(3) = 8

∴ The value of f(3) is 8

7 0
3 years ago
My bed is 3 inches by 2 2/3 inches by 1/3 inch.What is the volume of my bed
Gekata [30.6K]

Answer:

2 2/3

Step-by-step explanation:

V=whl

3*8/3*1/3

3*8/3=8

8*1/3= 8/3= 2 2/3

5 0
3 years ago
Read 2 more answers
Other questions:
  • Is the answer on inside or outside ?
    13·1 answer
  • You need to download 3 games for your math class. Each game is the same price. Since this is your first time downloading a game
    9·1 answer
  • Factor this polynomial<br> 2x²+19x+24
    9·1 answer
  • Traza el grafico de la función y= ax+b,
    11·1 answer
  • What’s the lower bound of 3.115
    13·1 answer
  • The amount a spring stretches varies directly as the weight of the object attracted to it. If an 8 ounce weight stretches a spri
    12·1 answer
  • Circle O and circle P are congruent. Given that arc AB is congruent to arc DE, what can you conclude from the diagram?
    6·1 answer
  • What is the value of (32 – 1) ÷ 4 × 23?<br> A.0<br> B.16<br> C.20<br> D.36
    8·1 answer
  • What is the slope for the function y = -3x^2 + 2 at the point x = 2?
    9·1 answer
  • Harry took a loan from the bank.D represents Harry's remaining debit (In dollars) after t months.D = -200t + 9000
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!