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
Levart [38]
3 years ago
12

A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5

)?
Mathematics
2 answers:
Georgia [21]3 years ago
4 0

\bf \begin{array}{rrlll} term&\stackrel{f(n+1)=-0.5f(n)}{~\hfill value~ }\\ \cline{1-2} f(1)&120\\ f(2)&-0.5(120)\\ &-60\\ f(3)&-0.5(-60)\\ &30\\ f(4)&-0.5(30)\\ &-15\\ f(5)&-0.5(-15)\\ &7.5 \end{array}

Anuta_ua [19.1K]3 years ago
4 0

Answer:

f(5) = 7.5

Step-by-step explanation:

The recursive formula allows a term in the sequence to be found from the previous term, thus

f(2) = - 0.5 f(1) = - 0.5 × 120 = - 60

f(3) = - 0.5f(2) = - 0.5 × - 60 = 30

f(4) = - 0.5f(3) = - 0.5 × 30 = - 15

f(5) = - 0.5f(4) = - 0.5 × - 15 = 7.5

You might be interested in
A decimal and a fraction between -4 and -3
LUCKY_DIMON [66]

Answer: - 3.5, -7/3

Step-by-step explanation:

6 0
3 years ago
A small pizza has a diameter of 10 inches and cost 7.75 how many square inches of pizza are in a small pizza? what is the cost p
sukhopar [10]
The answer is 0.0987
4 0
3 years ago
Read 2 more answers
3m - (7m+12) =2 (m-3)
viktelen [127]
Remove parentheses
3m - 7m+12 = 2 m-3

collect like terms
3m-7m-12 = 2m-6

move terms
-4m - 12 = 2m-6

collect the like terms and calculate
-4m-2m = -6+12

divide both sides by -6
-6m=6

m= -1

7 0
3 years ago
Hudson is making smoothies. Each smoothie uses 2/3 cup of yogurt. How many cups of
iogann1982 [59]

Answer:

38/3 = 12 2/3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Doyle Company issued $500,000 of 10-year, 7 percent bonds on January 1, 2018. The bonds were issued at face value. Interest is p
mezya [45]

Answer:

f

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Please help...........................................
    6·2 answers
  • Round 45728 to the nearest hundred
    5·2 answers
  • Rewrite using standard notation : 8.07 x 10^3
    5·1 answer
  • If an interior angle of a regular polygon measures 144° how many sides does the polygon have
    13·1 answer
  • what is the first to last in this question 1,450 1,776 1,670 1,483 which one is the smallest and which is the biggest
    15·2 answers
  • 4(2.5)^2x = 4<br> The value of x?
    9·1 answer
  • BD bisects ABC. Find the value of x. <br> a.x=3/17<br> b.x=3<br> c.x=9<br> d.x=-3
    8·1 answer
  • Help pls if u can pls
    11·1 answer
  • The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20
    8·1 answer
  • which scatterplot shows a strong association between two variables even though the correlation is probably near zero?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!