The first term of a geometric sequence is 8000 and the fifth term is 500. determine the common ratio and the sum of the first nine terms

The common ratio  = 1/2

The sum of 9 terms of GP is 15,968.75

Step-by-step explanation:

Here, in the given GP:

Firs Term a = 8000, Fifth term a(5)  =   500

Let Common Ratio = r

Now, by the general term of GP:

For, n = 5  

or,

Hence in the given GP, a   = 8000 and r = 1/2

Now, in a  GP sum of n terms is

So, for n = 9,

So,the sum of 9 terms of GP is 15,968.75.

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

=

x=0.8898305 is the answer to that equation