Two terms in a geometric sequence are a3=729 and a4=243.

What is the first term of the sequence, and what is the recursive rule that describes the sequence?

Step-by-step explanation:

Let the first term = a and common difference = d

Given,

= 729 and = 243

To find, the first term of the given sequence (a) = ?

We know that,

The nth term of a G.P.

The 3rd term of a G.P.

⇒ = 729          ..............(1)

The 4th term of a G.P.

⇒ = 243          ..............(2)

Dividing equation (2) by (1), we get

=

⇒

Put in equation (1), we get

= 729    

⇒ = 729    

⇒ a = 9 × 729 = 6561

∴ The first term of the given sequence (a) = 6561

i believe the answer is c.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.