how do i find r in a geometric sequence of (243, 81, 27)? also how do i find the explicit formula for this?

Step-by-step explanation:

The initial term is 243. Since it is a geometric sequence, each term is r times the preceding term.

r = 81/243 = ⅓

nth term = a₁rⁿ⁻¹ = 243(⅓)ⁿ⁻¹

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have