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
qwelly [4]
3 years ago
8

A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)

=1
Mathematics
1 answer:
Papessa [141]3 years ago
7 0

Answer:

a(7) = 0

Step-by-step explanation:

Using the recursive formula and a(1) = 0, a(2) = 1 , then

a(3) = 2a(1) = 2(0) = 0

a(4) = 2a(2) = 2(1) = 2

a(5) = 2a(3) = 2(0) = 0

a(6) = 2a(4) = 2(2) = 4

a(7) = 2a(5) = 2(0) = 0

You might be interested in
Suppose the required reserve ratio is 20 percent. If banks are conservative and choose not to loan all their excess reserves, th
maria [59]

Answer:

Option B

Step-by-step explanation:

Given that the required reserve ratio is 20 percent.

Since banks are conservative they choose not to loan all their excess reserves

i.e. only 20% of deposits is kept as reserve and 80% lent.

This 80% will again be deposited in a bank and 80% of 80 i.e.64% would be lent.  Thus this will form a geometric progression infinitely as

deposits = 1+0.8 + 0.8^2 +0.8^3+...with common ratio 0.8<1

Hence infinite sum = \frac{a}{1-r} =\frac{1}{1-0.8} \\=5

So deposit multiplier is B) equal to 5

5 0
3 years ago
A pyramid has a rectangular base. Find the width of a pyramid if the height is 10cm, the length is 6cm and the Volume is 80cm^3
KiRa [710]

Answer: = 4cm

Step-by-step explanation:

5 0
3 years ago
Helpppppp please thank you
AleksandrR [38]

Answer:

5/21

Step-by-step explanation:

5/3 divide by 7

5/3  /  7/1

5/3  x  1/7

5/21

i think its this

4 0
3 years ago
Read 2 more answers
Use the drawing tool(s) to form the correct answer on the provided number line.
miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: x^2-x-12

This is now a quadratic expression for which we can find its factor form:

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0
3 years ago
At a certain electronics company, the daily output Q is related to the number of people A on the assembly line by Q=600+√(A+41).
Ber [7]

Answer:

A=400\ people

Step-by-step explanation:

we have

Q=600+\sqrt{A+41}

where

Q -----> is the daily output

A -----> is the number of people

For Q=621

Find the value of A

substitute and solve for A

621=600+\sqrt{A+41}

Subtract 600 both sides

621-600=\sqrt{A+41}

21=\sqrt{A+41}

squared both sides

21^{2} ={A+41}

441={A+41}

Subtract 41 both sides

441-41=A

Rewrite

A=400\ people

3 0
2 years ago
Other questions:
  • The diameter of the circle that Michael drew was 16.8 cm. What was the approximate circumference of the circle if you use 3.14 f
    7·2 answers
  • Expiration dates that establish the shelf lives of pharmaceutical products are determined from stability data in drug formulatio
    13·1 answer
  • 15 decreased by twice a number
    10·1 answer
  • For which of the following conditions is it not appropriate to assume that the sampling distribution of the sample mean is appro
    10·1 answer
  • In the first 3 3/4 hours of a marathon, Susan ran at an average speed of
    15·1 answer
  • Prove the identity
    12·1 answer
  • HELPPP
    15·2 answers
  • PLEASE HELP!!!!!!!!!
    12·1 answer
  • PLS ANSWER ILL GIVE BRAINLIEST TO THE FASTEST ANSWER!!!!!!
    7·1 answer
  • John and Liz are sharing a large pizza. John ate 2/3 of the pizza, and Liz ate 1/5 of the pizza. How much of the pizza is left?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!