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
ziro4ka [17]
3 years ago
6

The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)

Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

You might be interested in
Penny and Sheldon are assembling hair clips. Penny can assemble a hair clip in 6 minutes and Sheldon can assemble a hair clip in
creativ13 [48]
The answer would be 18 minutes
8 0
3 years ago
What is the logarithmic form of the solution to 102t = 9?
Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is t = \frac{\log(9)}{2}

<h3>How to rewrite the equation</h3>

The expression is given as:

10^{2t} = 9

Take the logarithm of both sides

\log(10^{2t}) = \log(9)

Apply the power rule of logarithm

2t\log(10) = \log(9)

Divide both sides by log(10)

2t = \frac{\log(9)}{\log(10)}

Apply change of base rule

2t = \log_{10}(9)

Divide both sides by 2

t = \frac{\log_{10}(9)}{2}

Rewrite as:

t = \frac{\log(9)}{2}

Hence, the equation in logarithmic form is t = \frac{\log(9)}{2}

Read more about logarithms at:

brainly.com/question/25710806

8 0
2 years ago
A captain is twice as old as his ship was when he was as old as his ship is now.
klio [65]
37 & the ship is 18.......
7 0
3 years ago
jaoan reads that themass of an average elephant's brain is 3 4/10 kilograms greater than an average man's brain. how many kilogr
e-lub [12.9K]
How many kilograms is a average man's brain?
6 0
3 years ago
Consider function f.<br><br><br><br> Which graph represents function f?
Ksju [112]
I think it is z I could be wrong
3 0
3 years ago
Read 2 more answers
Other questions:
  • V^2+3v-5=0<br> Round to nearest hundredth
    7·1 answer
  • Woman’s age is three years more than twice her sons age. The sum of the ages is 84. How old is the sun
    11·2 answers
  • One of the factory’s profits over time can be modeled with the polynomial p(x)=2x6+123.5x4+389x2−25x5−304.75x3−237.25x+53.5.
    11·1 answer
  • What are three consecutive integers that add up to 4,590
    9·1 answer
  • Carrie sewed a square blanket with an area of 225 in^2
    10·2 answers
  • What is tariffwhat is tariff ​
    15·1 answer
  • Brainliest +thanks <br>1/3z-2=0 write in statement​
    8·1 answer
  • What is the equation of the line in slope-intercept form?
    11·2 answers
  • Use the graph of the function y = -x² + 2x + 8 to
    14·2 answers
  • Pls answer for brainlest and 50 points PLEASE EXPLAIN <br><br> In image
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!