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
inessss [21]
3 years ago
6

what is the simple formula corresponding to the explicit formula if the first term of the sequence is -10 and the difference bet

ween terms in the sequence is 5?

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0
Look in the file below

You might be interested in
How do you do this question?
Lena [83]

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0.  So we can eliminate the top left option.  That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x).  The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

3 0
3 years ago
Question 3 of 10 What is the slope of the line shown below? C O A. 5 5 (3,7) B. 2 O D.-2​
scoundrel [369]

Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2

8 0
3 years ago
Read 2 more answers
Urgent !!!!!!!!!!!!!!! 10 points
Mademuasel [1]

Answer:

136 cm²

Step-by-step explanation:

Surface area = 2(lw+wh+hl)

l = 7

w = 2

h = 6

so,

2(7×2+2×6+7×6)

= 136 cm²

6 0
3 years ago
Read 2 more answers
A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distan
Arte-miy333 [17]
The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions

let
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden

we know that
x>=110
2x+2y <=380---------------> x+y <= 190

Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190


Part B) <span>Graph the system to show all possible solutions

using a graph tool
see the attached figure
the solution is the triangle show in the figure

</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft

5 0
3 years ago
Polynomial division (-12m^2-49mn-44n^2)/(-3m-4n)
Ket [755]
First factor -12m^n - 49mn - 44n^2 to get -(4n+3m)(11n + 4m) then the equation would be:
-(3m + 4n)(4m + 11n) / (-3m - 4n)
Then, cancel out the like terms and the final answer would be
4m + 11n
7 0
3 years ago
Other questions:
  • Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)
    11·2 answers
  • PLEASE HELP ASAP!! CORRECT ANSWERS ONLY PLEASE!!!
    8·1 answer
  • What is the Gcf of 10,20,78
    11·1 answer
  • F(x)=4- 3/2x g(x)=1/2x+3/2
    5·1 answer
  • Can someone help me pls?
    8·1 answer
  • Does anyone know the answer.
    7·1 answer
  • Solve the following: 2 | x + 3 | -5 &gt; -1<br><br> I NEED THE STEPS
    11·2 answers
  • Which of the binomials below is a factor of this
    7·2 answers
  • Plz help will give brainlyest
    15·2 answers
  • How many times can 5/8 go in to 1 2/3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!