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
lukranit [14]
3 years ago
8

If f(1)=10 and f(n)=-5f(n-1)-2 then find the value of f(4)

Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

\large\boxed{f(4)=-1292}

Step-by-step explanation:

f(n)=-5f(n-1)-2\\\\f(1)=10\\\\f(2)=-5f(2-1)-2=-5f(1)-2\\\text{put}\ f(1)=10:\\f(2)=-5(10)-2=-50-2=-52\\\\f(3)=-5f(3-1)-2=-5f(2)-2\\\text{put}\ f(2)=-52\\f(3)=-5(-52)-2=260-2=258\\\\f(4)=-5f(4-1)-2=-5f(3)-2\\\text{put}\ f(3)=258\\f(4)=-5(258)-2=-1290-2=-1292

You might be interested in
How to do this because I do not understand how to do it
mel-nik [20]
Answer: 24.52%

-------------------------------------------

Work Shown:

Convert the time 7:45, which represents 7 min 45 sec, to seconds only
7:45 = (7 min) + (45 sec)
7:45 = (7*60 sec) + (45 sec)
7:45 = (420 sec) + (45 sec)
7:45 = (420+45) sec
7:45 = 465 sec

Do the same for 5:51
5:51 = (5 min) + (51 sec)
5:51 = (5*60 sec) + (51 sec)
5:51 = (300 sec) + (51 sec)
5:51 = (300+51) sec
5:51 = 351 sec

So the initial time is 465 seconds and it drops to 351 seconds
Subtract the values to find the amount dropped: 465-351 = 114

Divide that difference over the initial time: 114/465 = 0.24516

Move the decimal over 2 spots to the right to convert to a percentage: 0.24516 --> 24.516%

Then round to the nearest hundredth of a percent (2 decimal places) to go from 24.516% to 24.52% which is our final answer

So the reduction is roughly 24.52%
This means if you took 24.52% of the initial time and subtracted it off, then you'd get to about 351 seconds.

5 0
2 years ago
Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
Naily [24]

Answer:

she didnt go back from 15 she went back from 20and the arrows should be going backwords not forwards

8 0
2 years ago
Read 2 more answers
Earth is approximately 5x10^9 years old . for which of these ages could this be an a aproxiamation
madreJ [45]

Answer:

D is correct

Step-by-step explanation:

the answer cant be direct numbers

4 0
3 years ago
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
Pavel [41]

Answer:

102

Step-by-step explanation:

408 words / 4 min = 102 words per min

3 0
3 years ago
Read 2 more answers
Write a calculation and a result that<br> represents a number that is 5 greater than 3.
Phantasy [73]

Answer:

x + 5 > 3

-5 -5

x < -2

3 0
3 years ago
Read 2 more answers
Other questions:
  • What is this answer plz
    10·2 answers
  • Determine the interest earned on a 3 and 1/4 year investment of $2880 at a rate of 4.5%
    7·1 answer
  • Pls heeeeeeeeeeelllllllllllllllllpppppp
    6·1 answer
  • Solve for x:<br><br> -15x – 3 &gt; 42
    8·2 answers
  • Which of the following expressions is equivalent to 4^−3?
    8·2 answers
  • The density of hydrogen is approximately 9 × 10-5 , while the density of helium is approximately 2 × 10-4 .
    13·1 answer
  • An interior design working with a computer program decreases the radius of a circular rug by 10%. By what percent does the area
    6·1 answer
  • What is the value of y?
    14·1 answer
  • HELP PLEASEEEEEEE!!!!
    12·2 answers
  • Oliver started his banking account with $100 and is increasing the account $20 per month. which type of function does this situa
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!