Consider the geometric sequence: 1, 3, 9, 27, ... if n is an integer, which of these functions generate the sequence?
a) a(n)=3^n for n greater than or equal to 0
b) b(n)=3(3)^n for n greater than or equal to 0
c) c(n)=3^n for n greater than or equal to 2
d) d(n)=3^n-1 for n greater than or equal to 2

PLS ANSWER ASAPP!!

Step-by-step explanation:

Since the sequence is a geometric sequence

For an nth term in a geometric sequence

where

n is the number of terms

a is the first term

r is the common ratio

To find n we must first find the common ratio

To find the common ratio divide the previous term by the next term

That's

r = 3/1 = 3 or r = 9/3 = 3

a = 1

Substitute the values into the above formula

That's

If n is an integer then

where n is greater than or equal to 2

Hope this helps you

a

Step-by-step explanation:

if n=0

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a(n)=3^n,where~n ≥0

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.