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
lions [1.4K]
3 years ago
5

3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18,

54, 162…
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?
Mathematics
1 answer:
Alona [7]3 years ago
4 0

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

You might be interested in
Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires Three-fourths of a cup of whole-wheat flour, ho
Alexxx [7]

Answer:

she can make 10 loaves

Step-by-step explanation:

If you need explanation, comment and I will go step by step.

5 0
3 years ago
Read 2 more answers
A farmer wants to use 200 feet of fencing for a chicken pen. He wants the width of the pen to be 20 feet. What is the length of
Aneli [31]
The length should be 80 feet.

This is because the width is 20, since there are two sides for the width in a pen, we have to add 20+20. This would equal 40. Then we need to subtract 40 from 200. 200-40 would be 160. Then since there are two sides for the length, we need to split that in half. 160÷2 would be 80. To double check, you can do 80+80 and that would still be 160. So the length of one side would be 80. But of course, this whole thing would only be right if the pen has four sides(but since i have seen many chicken pens, there were all rectangular). I hope this helped! :)
7 0
3 years ago
Uma volta inteira na Terra corresponde a uma distância 2πr≅40.000 km. Se um satélite leva 85 minutos para dar uma volta completa
Shalnov [3]

Answer:

7.8. 10 ^ 3 m / s

Step-by-step explanation:

The computation of the average speed in m/s is shown below:

The average speed equation is

= ΔS ÷ Δt;

As We know that

an entire revolution would be40,000 km

and a satellite takes 85 minutes to complete a revolution,  

So,

ΔS = 40,000 km = 40,000,000 m

Δt = 85 min = 5 100 s

Now the average speed is

= 40 000 000 ÷ 5 ÷ 5 100

 = 7843.14 m / s

= 7.8. 10 ^ 3 m / s

4 0
3 years ago
SOMEONE HELP ASAP PLEASE
ziro4ka [17]
Step 1:Distribute -2 into 5 and 8
Step 2:Subtract 6x from both sides
Step3: Add 16 to both sides
Step 4: Divide -16 into 30
7 0
2 years ago
Please help me with this word problem.
koban [17]
I would say 6 hours but i don’t think it is, sorry this one is a real tricky one
7 0
3 years ago
Other questions:
  • A ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?
    15·1 answer
  • Choose the multiplicative inverse of 5/3
    9·1 answer
  • A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times the baseball player
    7·2 answers
  • When Lily does a self-inventory, she lists her knowledge of Excel, her proficiency in bookkeeping, and her training in customer
    12·1 answer
  • Sally plans to run 12 miles. She ran 5 1/8 miles and then stopped for a water break. How many miles does Sakky have left to run?
    8·1 answer
  • You are trying to decide between two different gyms. The cost for GloboGym includes a monthly fee of $24.00 plus $.50 per visit.
    6·1 answer
  • Find the ULE in the triangle below
    9·1 answer
  • Emily claims that y = 2x^2 —3 is a linear function.
    14·1 answer
  • What is the area of the space that Nadia has shown for scrapbooking?​
    10·1 answer
  • A ball is thrown into the air with an initial upward velocity of 48 ft/s. Its height (h) in feet after 1 seconds is given by the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!