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
viva [34]
3 years ago
6

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

l sum of the series, as a quadratic function, where x represents the term number.
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer: 3x2 + 51x

Step-by-step explanation:

omeli [17]3 years ago
5 0
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

You might be interested in
What is 7 1/2 - 4 1/4
GarryVolchara [31]
The answer is 3.25 or 3 1/4
6 0
3 years ago
Read 2 more answers
8x + 12 = 4r - 16 find r
Ber [7]
After r duhh IM SORRY
7 0
3 years ago
Read 2 more answers
The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
podryga [215]

Answer:

g(x)=-2\sqrt[3]x

or

g(x) = -2f(x)

Step-by-step explanation:

Given

f(x) = \sqrt[3]x

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

(x_1,y_1) = (-1,2)

(x_2,y_2) = (1,-2)

We can represent g(x) as:

g(x) = n * f(x)

So, we have:

g(x) = n * \sqrt[3]x

For:

(x_1,y_1) = (-1,2)

2 = n * \sqrt[3]{-1}

This gives:

2 = n * -1

Solve for n

n = \frac{2}{-1}

n = -2

To confirm this value of n, we make use of:

(x_2,y_2) = (1,-2)

So, we have:

-2 = n * \sqrt[3]1

This gives:

-2 = n * 1

Solve for n

n = \frac{-2}{1}

n = -2

Hence:

g(x) = n * \sqrt[3]x

g(x)=-2\sqrt[3]x

or:

g(x) = -2f(x)

4 0
3 years ago
Solve the equation<br> z/6 = 1/6<br><br>A. z= -36<br>B. z= 0<br>C. z= 1<br>D. z= 36
Elan Coil [88]
B                                                                                          B               B

B is the correct answer



3 0
3 years ago
Write an equivalent fraction of
matrenka [14]

Answer:

<h2>here's the answer</h2>

Step-by-step explanation:

to \: do \: so \: we \: have \: to \: multiply \:  \frac{9}{6}  \: by \:  \frac{8}{5}  \: so

\frac{9}{6}  \times  \frac{8}{5}

\frac{72}{30}

6 0
2 years ago
Other questions:
  • What is the tax (8%) on a $2.50 magazine
    10·2 answers
  • Evaluate for f(5)<br><br><br> a.<br> 22<br> b.<br> 15<br> c.<br> 16<br> d.<br> 30
    11·2 answers
  • Marco says that the interior angles of a triangle add up to 180°. he claims that the interior angles of a hexagon must add up to
    15·2 answers
  • The owner of an appliance store is interested in the relationship between the price at which an item is sold (regular or sale pr
    13·1 answer
  • PLEASE DIE TODAY I NEED MY GRADE UP it is not 12.5 this is my last attempt I think 15 points
    6·1 answer
  • -21/3 - (-5) =
    10·2 answers
  • Find the slope of (1, 2) (-3, 5) SHOW ME STEP BY STEP
    9·2 answers
  • Please Find -15(-8) (will mark brainliest)
    8·2 answers
  • HELPpPpppppppppppppppppppppppppp and explain
    5·1 answer
  • DOES THE THE NUMBER LINE GOES ON FORVEVER
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!