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
sattari [20]
3 years ago
9

(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…

Mathematics
1 answer:
lana [24]3 years ago
8 0

Given:

The sequence is:

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

To find:

The formula for the nth term in the given sequence.

Solution:

We have,

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

The given sequence can be written as

\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...

The sign are alternative and the absolute value of each term can be defined by the expression \dfrac{17}{n^3}, where n is a natural number.

So, the required formula is:

a_n=(-1)^{n+1}\dfrac{17}{n^3}

Therefore, the formula for nth term in the given sequence is a_n=(-1)^{n+1}\dfrac{17}{n^3}.

You might be interested in
The black triangles are similar. Identify the type of segment shown in blue and find the value of the variable. altitude base hy
Shtirlitz [24]

Answer:

Hello your question is incomplete attached below is the complete question

answer : ALTITUDE , x = 24

Step-by-step explanation:

The type of segment shown in Blue is ALTITUDE segment

This is because

Angle BCD = Angle CEG (opposite angles)

Angle ACD= Angle CFG (opposite  angles)

Angle ADC = Angle BCD= Angle CEG = Angle CFG

It can be seen that the triangles are similar hence

 18/27=16/x

therefore  X  =24

5 0
3 years ago
a crane lifts a pallet of concrete blocks 7 ft from the back of the truck . the truck driver away and the crane lowers the palle
n200080 [17]

Answer:

4 ft down as per the image attached.

5 ft down as per the question statement.

Step-by-step explanation:

Given that:

A Pallet of concrete blocks is at the back of a truck.

The pallet is lifted by the crane to a height of 8 ft (as per image attached ) or 7 ft (as per question statement) and then the truck moves forward.

Now, the pallet is lowered down to a distance of 12 ft.

To find:

The final position of the pallet relative to the position from the back of the truck?

Solution:

If we closely look at the figure attached, it can be interpreted that the pallet is taken 8 feet above and then 12 feet down.

Therefore, if we subtract 8 feet from 12 feet, we will have our answer.

So, the position of the pallet with respect to its position in the truck is =

12 ft - 8 ft = <em>4 ft down</em>.

If we consider the question statement:

12 ft - 7 ft = <em>5 ft down</em>

5 0
3 years ago
Solve 4x+5y=13 for y.
inessss [21]
Y = -4x/5 + 13/5 would be the answer to 4x+5y=13






3 0
4 years ago
Help plzzz!!! I need this ASAP plzzzz...
gizmo_the_mogwai [7]

Lines m and n are parallel.

4 0
3 years ago
Read 2 more answers
Simplify:
wlad13 [49]

Answer:

The answer to your question is  letter C. 7y³  + 7n²y²  - 22y²

Step-by-step explanation:

                                   y²(4y + 7n² + 2) - 3y² (-y + 8)

Multiply

                                 4y³ + 7n²y² + 2y² + 3y³ - 24y²

Use the associative property for like terms

                               (4y³ + 3y³) + (2y² - 24y²) + 7n²y²

Simplify like terms

                                7y³ - 22y² + 7n²y²   or    7y³  + 7n²y²  - 22y²        

5 0
4 years ago
Other questions:
  • A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the
    6·1 answer
  • Which of the following options represents a logical first step that can be used
    6·1 answer
  • Find the counting number A, if GCF(A,6)=2 and LCM(A,6)=42
    13·1 answer
  • Jeremiah wants to set aside enough money for lunch during the coming year. How much money will he need to save assuming he eats
    12·2 answers
  • If m varies directly as p, and m=45 when p=9, find m when p is 6.
    7·1 answer
  • write the equation of the line that passes through the point (-2,4) and (5,8). Put your answer in fully reduced point slope form
    11·1 answer
  • How many different triangle can you make if you are given the measurements for two sides and an angle that is not between those
    15·2 answers
  • What is the value of x in the equation below?<br><br> 1/3(12x-24) = 16<br><br> 2<br> 6<br> 8<br> 10
    15·1 answer
  • The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th
    7·2 answers
  • What is a2? ai + 1=ai +1 a0=0 ?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!