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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

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a recipe calls 1 2/3 cups of brown sugar for the granola bars and 1 q/3 cups of brown sugar for the topping. Dara has 3 1-4 cups
sp2606 [1]

Answer:

yes, she does have enough

Step-by-step explanation:

3 1/4 - 1 1/3 - 1 2/3

=1/4

4 0
3 years ago
Samuel gave the cashier $30 to pay for 4 bags of candy he was purchasing for a class party. The cashier gave him $2.04 in change
Rina8888 [55]

Answer:

Step-by-step explanation:

First, subtract 2.04 by 30

30 - 2.04 = 27.96

Next, divide 27.96 by 4.

27.96/4 = 6.99

Each bag of candy cost $6.99

:)

4 0
3 years ago
Sos ,, helpp please !!!
Serhud [2]
8) x represents the number of pounds of peanuts, and y represents the number of pounds of raisins

9) 
Solve:
x+2y=9
-2y    -2y
x=9-2y

2(9-2y) + 3y=14
18-4y+3y=14
-18            -18
-y=-4
y=4

x+2(4)=9
x+8=9
x=1


8 0
3 years ago
Need help ASAP. Will give brainliest!!!!
julia-pushkina [17]

B1 to H1, B3 to H2, B2 to H3.

8 0
3 years ago
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
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