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
zmey [24]
3 years ago
13

F(n+1)=f(n)-5. If f(1)=100, what is f(6)

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

<em>75</em>

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

You might be interested in
Simplify: -3(y+2)^2-5+6y what is the simplified product in standard form
oee [108]

Answer:

Step-by-step explanation:

Perform the indicated multiplication (squaring):

-3(y^2 + 4y + 4) - 5 + 6y

Continuing with the multiplication:

-3y^2 - 12y - 12 - 5 + 6y

Combiing the y terms in descending order by powers of y:

-3y^2 - 6y - 17

7 0
3 years ago
Read 2 more answers
90 units needed 8per case
Sever21 [200]
Are you asking how much cases is needed to to reach the 90 units? If yes then 90/8 which would give you 11.25. But since it’s by case then round up to get 12 cases. I think I answered it wrong but
6 0
3 years ago
Which equation represents a circle with a center at ( -4,9) and a diameter of 10 units
castortr0y [4]

Answer:

(x + 4)² + (y - 9)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 4, 9) and r = 10 ÷ 2 = 5, thus

(x - (- 4))² + (y - 9)² = 5², that is

(x + 4)² + (y - 9)² = 25

3 0
3 years ago
Read 2 more answers
A country Road is 0.8 miles long. Determine the length of the road to the nearest whole yard
Olin [163]

Answer:

The nearest whole yard would be 1 or 1.0 because 8 is larger than 5 so you would round up giving you 1

6 0
3 years ago
Why is x=6 a solution to the proportion 192/36=32/x​
Norma-Jean [14]

Answer:

They're both equal each other!

Step-by-step explanation:

Because 32/6 is 5.33... on the calculator and when you divide 192/36 is 5.33 and so on. X = 6 is the solution because both of these divisors equal each other!!! Hope this helps!

7 0
4 years ago
Other questions:
  • Can you put a restriction on a horizontal line segment?
    12·1 answer
  • Two math classes took the same classes
    12·1 answer
  • What is the value of x?
    15·1 answer
  • WILL MAKE BRAINLIEST!!!
    10·2 answers
  • A geometric sequence is defined by the general term tn = 75(5n), where n ∈N and n ≥ 1. What is the recursive formula of the sequ
    8·2 answers
  • FACTORISE: X3 + 3X2 +3X + 1
    8·2 answers
  • John has 18 dogs and 27 cats in his pet lounge. What is the ratio of the cats to the animals in the lounge?
    8·2 answers
  • This week is representative of how many hours Ricki will work each week during Summer Break. If she earns $9 per hour and there
    12·1 answer
  • Write the equation of the line that passes through the points (-5, 2) and<br> (0, -1)
    12·1 answer
  • Gabe is mapping out important family events. He uses negative numbers to represent time before he was born and positive numbers
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!