What is the next term of the geometric sequence?
27/16 ,-9/4,3..

-4

Step-by-step explanation:

27/16 ,-9/4,3..

We need to find the common ration

r = term2 / term 1

  = -9/ 4 ÷27/16

copy dot flip

   = -9/4 * 16/27 = -4/3

Multiply the last term by the common ratio

3 * -4/3 = -4

The next term is -4

it would be 4 over -2 divided by -1 over 3.

if you want a solution it would be 4

you flip it so it would be 4/-2 divided by 3/-1 then it would be 12/3 and you would simplify it to 4

8.75

how-to:

first, we need to find what we have to work with.

since i know that we have 7 (years) and 0.8 (inches), we can use these to solve and find the equation!

secondly, what you want to do, is see that we need to know how much growth out of the 0.8 inches he got in only 1 year, instead of 7 years.

let's try to divide.

7 ÷ 0.8 = 8.75