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 CD usually sells for $18.00. If the CD is 30% off, and sales tax is 6%, what is the total price of the CD, including tax?
natali 33 [55]
Ok first find out what it will cost after the 30% discount

18*.30=
$5.40 discount 
$18.00-$5.40=
$12.60
Now lets figure out the sales tax
$12.60*.06=
76 cents
total price including tax is $13.36
6 0
3 years ago
What is the value of x3 × y1 when x = 5 and y = 10​
katovenus [111]

Answer:

150

Step-by-step explanation:

To solve the problem, put 5 instead of x, so 5*3

and put 10 instead of y, so 10*1

when combined,

(5*3) * (10*1)

= 15 * 10

= 150

Hope this helps!!

Let me know if I'm wrong...

8 0
2 years ago
What is 6/87 of 45638???????
lapo4ka [179]

Answer:

3,147.44828

Step-by-step explanation:

\frac{6}{87}  \: of \: 45638 \\  \\  =  \frac{6}{87}  \times 45638 \\  \\  = 6 \times 524.574713 \\  \\  = 3,147.44828

5 0
2 years ago
Which property can you use to simplify (4+10)+(-10)
Anarel [89]

Answer:

Associative property of addition

Step-by-step explanation:

(4+10)+(-10)

We want to change the parentheses to

4 + ( 10 + -10)

We can use the Associative property of addition

( a+b) + c = a+ ( b+c)

6 0
3 years ago
Read 2 more answers
Explain why rationalizing the denominator does not change the value of the original expression
anzhelika [568]
Rationalizing is just simpllifying, so the simplified value has the same value as the original expression.
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the explicite to 19,13,7,1,...
    7·1 answer
  • Jenny is cooking a chicken a chicken needs to be cooked 40 mins per kilogram plus extra 20 mins how much will it take to cook a
    11·1 answer
  • I NEED HELP ASAP PLZZZZZZZZ
    6·1 answer
  • What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
    10·2 answers
  • What’s 40% as a decimal
    6·1 answer
  • A running track has a straight stretch that measures 200m at the ends there are
    15·1 answer
  • How do you work<br><br>8x= -4x -3x​
    6·2 answers
  • A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?
    15·1 answer
  • F(x) = x? What is g(x)?
    13·1 answer
  • I NEED HELP ASAP!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!