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]
2 years ago
6

Find the recursive rule, explicit rule, and f(20)

Mathematics
1 answer:
DiKsa [7]2 years ago
5 0

Answer:

Recursive:

f(1)=35, f(n)=f(n-1)+10

Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

You might be interested in
Which expressions are equivalent to (5g+3h+4) •2
timama [110]

Step-by-step explanation:

Unfortunately you didn’t provide the expressions to chose from

however, we can write :

(5g+3h+4) •2 = 2*5g + 2*3h + 2*4  (using distributive property)

                     = 10g + 6h + 8.

5 0
3 years ago
Which graph represent bad a function of x
Dennis_Churaev [7]

Answer:

idk

Step-by-step explanation:

idk....,..................

8 0
3 years ago
Read 2 more answers
Angle Q = 85° Determine angle O.
kkurt [141]

Answer:

∠O = 95°

Step-by-step explanation:

since ∠Q = 85°, arc NOP = 2(85°) = 170°

arc PQN = 360° - arc NOP

arc PQN = 360° - 170° = 190°

∠O = 1/2(arc PQN) = 1/2(190°) = 95°

4 0
3 years ago
Given the inequality of x < 5, select all the
diamong [38]
Nxnxnxbbxnxndnnsnsn nsnsnsndnnsndnndndnsndnndndnndnd
7 0
3 years ago
Samuel is saving to buy a watch that costs $169.This is $48 More than 4 times what he saved last month.How much did he save last
bazaltina [42]
He saved 30.25 last month. 169 - 48 = 121 divided by 4 = 30.25
8 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELPPPP!!!!!!!!!
    6·1 answer
  • Y= 4x + 3<br> y= -x - 2<br><br> solve the system of linear equation by graphing
    14·1 answer
  • Help plz help nowwwwww
    9·1 answer
  • How far is jupiter from earth?
    11·1 answer
  • Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkboo
    13·2 answers
  • Find cot θ if csc θ = square root of seventeen divided by four and tan θ &gt; 0.
    6·2 answers
  • Helpppp meee pleaseee
    10·2 answers
  • Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4. The equation is y-
    6·1 answer
  • Allison is shopping for a bag of potting soil. The table below shows the prices of different-sized bags of soil she can buy. Whi
    7·1 answer
  • 8x10x32divided by 19 +1000000000x329568453=
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!