What is the recursive formula for this arithmetic sequence? -16,-7,2,

The recursive formula for the arithmetic sequence is given by:

  for

where, d is the common difference.

Given the sequence:

-16,-7,2,11...

This is a arithmetic sequence:

and d = 9

Since,

-7-(-16) = -7+6 = 9,

2-(-7) = 2+7 = 9,

11-2 = 9 and so on...

⇒ common difference(d) = 9

Substitute in [1] we have;

for

Therefore, the recursive formula for this arithmetic sequence is,

  for

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.

the answer will be b x² +x-1

step-by-step explanation: