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
rjkz [21]
3 years ago
5

What is the 48th term of the arithmetic sequence with this explicit formula?

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

-149

Step-by-step explanation:

a_{n} =-11 + (n - 1)(-3)

by observation

when n = 0, a_{0} = 1st term

when n = 1, a_{1} = 2nd term

.....

when n = x,  a_{x} = (x+1)th term

hence if we want to find the 48th term, n = 48 - 1 = 47

when n = 47, a_{47} = 48th term

= -11 + (47-1)(-3)

= -11 + 46(-3)

= - 11 - 138

= -149

You might be interested in
18. A child is flying a kite and has let out all
kolbaska11 [484]

Answer:

I'm pretty sure the answer is 45 ft

Step-by-step explanation:

The string is out at all 80 feet, and is 35 feet away from a stop sign. Then wouldn't 80-35=45?

5 0
3 years ago
Eight less than 7.2 times a number is -29.6 wrote out in numbers
enot [183]
7.2x - 8 = -29.6  that is your answer wrote out in numbers.
5 0
3 years ago
Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen
pshichka [43]

Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

-------------------

Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

  • term2 - term1 = -12 - (-8) = -12 + 8 = -4
  • term3 - term2 = -16 - (-12) = -16 + 12 = -4
  • term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

==========================================================

Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

-------------------

Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

  • -6+5 = -1
  • -1+5 = 4
  • 4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

==========================================================

Problem 3

<h3>Answer: Not arithmetic</h3>

-------------------

Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

  • term2 - term1 = 12 - 3 = 9
  • term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

  • term2/term1 = 12/3 = 4
  • term3/term2 = 48/12 = 4
  • term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

3 0
3 years ago
the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr
fiasKO [112]

Answer:

The pressure is 20\ psi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

V*P=k

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For V=100\ in^{3},P=25\ psi

step 1

Find the value of k

substitute the values of V and P

100*25=k

k=2,500

The equation is equal to  V*P=2,500

step 2

Find the pressure when the volume is 125 cubic inches

For V=125\ in^{3}

substitute in the equation and solve for P

125*P=2,500

P=2,500/125=20\ psi

8 0
3 years ago
A car travel 120miles in 3hours how far will it take to travel 200miles
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

120/3= is 40mph

200/40= 5

At 40 mph it will take 5 hours.

3 0
3 years ago
Read 2 more answers
Other questions:
  • WILL GIVE BRAINLIEST What is the area of this figure?<br><br> Enter your answer in the box.
    8·2 answers
  • Find the perimeter of the rectangle.
    9·2 answers
  • If I have 2 apples and 2 carrots how much fruit would I have?
    8·1 answer
  • PLEASE HELP ASAP 50 POINTS AND BRAINLYEST
    8·1 answer
  • Which relation is a function?
    14·1 answer
  • Heyy! i’ll give brainliest please help thanks
    5·2 answers
  • 3x2 + 14x − 20 = (x + B)(3x − 4) What is B=
    6·1 answer
  • 2x^3/3y equivalent expressions
    10·1 answer
  • How can we describe the relationships that exist between circles and lines?
    10·1 answer
  • Hi, so I know the answer to this problem (now that I got it wrong) but I'm not quite sure why I was wrong, help?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!