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
Varvara68 [4.7K]
3 years ago
5

What the recursive formula for the sequence

Mathematics
1 answer:
klemol [59]3 years ago
8 0

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ a_n=2-5(n-1)\implies a_n=\stackrel{\stackrel{a_1}{\downarrow }}{2}+(n-1)(\stackrel{\stackrel{d}{\downarrow }}{-5})


so, we know the first term is 2, whilst the common difference is -5, therefore, that means, to get the next term, we subtract 5, or we "add -5" to the current term.

\bf \begin{cases} a_1=2\\ a_n=a_{n-1}-5 \end{cases}


just a quick note on notation:

\bf \stackrel{\stackrel{\textit{current term}}{\downarrow }}{a_n}\qquad \qquad \stackrel{\stackrel{\textit{the term before it}}{\downarrow }}{a_{n-1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{current term}}{a_5}\qquad \quad \stackrel{\textit{term before it}}{a_{5-1}\implies a_4}~\hspace{5em}\stackrel{\textit{current term}}{a_{12}}\qquad \quad \stackrel{\textit{term before it}}{a_{12-1}\implies a_{11}}

You might be interested in
When solving an equation, Francesca's first step is shown below. Which property
Yuliya22 [10]
-2
the second equation is the result of subtracting 2
7 0
3 years ago
Read 2 more answers
What is standard form
ahrayia [7]
It either word for or number form
5 0
3 years ago
Find the measure of the arc.<br><br> 146°E<br><br> mFD =
Verizon [17]

Answer:

arc FD = 236°

Step-by-step explanation:

The measure of the arc is equal to the measure of the central angle it subtends, thus

arc FD = arc FE + arc ED = 146° + 90° = 236°

4 0
3 years ago
Mathematically verify the outlier(s) in the data set using the 1.5 rule.
statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

Q_1=\dfrac{11+13}{2}

Q_1=\dfrac{24}{2}

Q_1=12

And

Q_3=\dfrac{16+16}{2}

Q_3=\dfrac{32}{2}

Q_3=16

The interquartile range is:

IQR=Q_3-Q_1

IQR=16-12

IQR=4

The data values lies outside the interval [Q_1-1.5IQR,Q_3+1.5IQR] are known as outliers.

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]

[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0
3 years ago
Which ordered pair is a solution of the inequality y &lt; 3x + 1
Nata [24]

Answer:

c

Step-by-step explanation:

1=x

-3=y

then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:

-3<3(1)+1

and solve it

-3<4+1

-3<5

3 0
2 years ago
Read 2 more answers
Other questions:
  • A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
    15·1 answer
  • If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v?
    9·1 answer
  • To join a local square dancing group Jane has to pay $100 sign up fee plus $25 per month write an equation for the cost (y) base
    7·1 answer
  • Grant is trying to make money to help pay for college by taking a job with Brian’s bike taxis if Baltimore. He has an agreement
    12·1 answer
  • Pleas help. I only have 3 minutes left and i really dont get it. An estate agent has three houses for sale. The prices of the ho
    6·1 answer
  • How do I solve this inequality?
    8·2 answers
  • I need help very fast plz someone help
    13·2 answers
  • Jessica has a four-sided die, a six-sided die, and a 12-sided die. She rolls the three dice once. Let Z be the number of fours s
    11·1 answer
  • Really need help with 11 and 12 just started learning this today and I don't quite understand it would really appreciate it
    15·1 answer
  • Write down the next two numbers in each of the following sequences. 40 POINTS
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!