Correct answer only ! the explicit rule for a sequence is an= 14 − 9n . what is the recursive rule for the sequence?

C

Step-by-step explanation:

Generate the first few terms using the explicit rule

= 14 - (9 × 1) = 14 - 9 = 5

= 14 - (9 × 2) = 14 - 18 = - 4

= 14 - (9 × 3) = 14 - 27 = - 13

= 14 - (9 × 4) = 14 - 36 = - 22

The first 4 terms in the sequence are

5, - 4, - 13, - 22

These are the terms of an arithmetic sequence with common difference d

d = - 4 - 5 = - 13 - (- 4) = - 22 - (- 13) = - 9

To obtain the next term in the sequence subtract 9 from the previous term

= - 9 with = 5

Step-by-step explanation:

The explicit rule for an arithmetic sequence is:

The given explicit rule is:

So, we know that d = -9    and    a₁ - (-9) = 14  ⇒  a₁ = 5

The recursive rule for an arithmetic sequence is:

So, the recursive rule for the given sequence is:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

where are the graphs?

step-by-step explanation: