Write a recursive and explicit rule for each geometric sequence, and then find the next 3 terms.1.) 2, 8, 32


2.) 1004, 512, 256

Answers

Answer 1
Answer: Hello,

1)
a_(0)=2
a_(1)=a_(0)*4=8
a_(2)=a_(1)*4=a_(0)*4^2=32
a_(3)=a_(2)*4=a_(0)*4^3=128
a_(4)=a_(3)*4=a_(0)*4^4=512
a_(5)=a_(4)*4=a_(0)*4^5=2048
...
a_(n+1)=a_(n)*4=a_(0)*4^(n+1)


2)
a_(0)=1024
a_(1)=a_(0)*0.5=512
a_(2)=a_(1)*0.5=a_(0)*0.5^(2)=256
a_(3)=a_(2)*0.5=a_(0)*0.5^(3)=128
a_(4)=a_(3)*0.5=a_(0)*0.5^(4)=64
a_(5)=a_(4)*0.5=a_(0)*0.5^(5)=32
....
a_(n+1)=a_(n)*0.5=a_(0)*0.5^(n+1)


Related Questions

Antwaun wants to purchase new photography equipment. He sees an advertisement on a store’s website for a 35% sale on 85mm lenses this weekend. If the original price of the lens he wanted is $599, what is the new price of the lens once it goes on sale?
The center of a circle is located at (3, 8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle? A. x2 + y2 − 6x − 16y + 48 = 0 B. x2 + y2 − 6x − 16y − 25 = 0 C. x2 + y2 + 6x + 16y + 48 = 0 D. x2 + y2 + 6x + 16y − 25 = 0
Question: Michelle is making goodie bags for Christmas filled with chocolate and candy. Chocolates cost $2.50 per lb and candy cost $3.00 per lb. Michelle spent a total of $40 on 20 lbs of candy. How much of each kind of candy did she purchase ?
If A and B are independent events, P(A and B) =
Solve this equation: –9h – 6 + 12h + 40 = 22.

Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?

Answers

Step-by-step explanation:

is this a quadrilateral? or polygon or triangle?

what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive

Divide 500 in a ratio of 3:7

Answers

Lets take the value as x

3x + 7x = 500
       10x= 500
           x= 500/10
           x= 50

3x= 3*50 = 150
5x= 5*50= 250

SO, there's your answer

Find the mode for the data set. 8.3, 8.7, 4.5, 6.9, 3, 4.2, 11.7, 4


4

6.9

8.3

no mode

Answers

8.3 ; 8.7 ; 4.5 ; 6.9 ; 4.2 ; 11.7 ; 4

Arrange in order from least to greatest.

4 ; 4.2 ; 4.5 ; 6.9 ; 8.3 ; 8.7 ; 11.7

The mode is the number that appears the most in the data set. Every number only appeared once. So. there is no mode in the data set.

NO MODE.

3/8 divided by 1/2 =

Answers

3/4
Find CD of both which is 8 and then cross mulitiply and divide and you get 24/32 reduces to 3/4
((3)/(8))/((1)/(2))=\ \ \ \ | multiply\ first\ fraction\ by\ inverse\ of\ the\ second\n\n(3)/(8)*(2)/(1)=(6)/(8)=(3)/(4)\n\nSolution \ is\ (3)/(4).

The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?A. -2

B. -5

C. 2

D. 5

Please help me

Answers

Answer:

5

Step-by-step explanation:

Answer:D-5

Step-by-step explanation:

One and three fourths subtracted from seven tenths

Answers

First convert both numbers into improper fractions. Then find the least (not greatest, photo is incorrect) common denominator and multiple by how much depending on your fraction. After that subtract and simplify needed.