Question

PLEASE HELP!!!

Write the correct geometric sequence formula for each of the sequences listed below

1st sequence:
1,3,9,27,…

2nd sequence:
400,200,100,50,…

3rd sequence:
4,8,16,32,…

4th sequence:
400,100,25,6.25,…

5th sequence:
1,5,25,125,…

6th sequence:
1000,500,250,125,…

7th sequence:
2,10,50,250,…

What are the geometric formulas???

Here are the options:
A.) y=1600(0.25)^x
B.) y=800(1/2)^x
C.) y=2/5(5)^x
D.) y=1/5(5)^x
E.) y=2000(1/2)^x
F.) y=1/3(3)^x
G.) y=2(2)^x

Please match the formulas with the correct sequence.

It’s a lot I know but I just absolutely suck at this stuff.

Answer 1

1st sequence is F

2nd sequence is B

3rd sequence is G

4th sequence is A

5th sequence is D

6th sequence is E

7th sequence is C

Explanation:

A) 1600*0.25= 400- the first term of the sequence

1600*0.25^2= 100- the second term

so it is 4th sequence

B) y=800* (1/2)^x

The first term is 800*1/2=400

The second term is 800*(1/2)^2= 800*1/4=200

the 2nd sequence

C) y= 2/5*5^x

The first term is y=0.4*5=2

The second term is y= 0.4*5^2=10

7th sequence

D) y=1/5* 5^x

The first term is y=1/5*5=1

The second term is y= 1/5 *5*5=5

The 5th sequence

E) y=2000*(1/2)^x

The first term of 2000*1/2=1000

The only sequence with such the first term is 6th sequence

F) y=1/3*3^x

y= 1/3*3=1 - the first term

y= 1/3*3*3=3

1st sequence

G) y= 2*2^x

y=2*2= 4 - the first term

it is the third sequence