Answer:
The reason for the decreasing sequence is [tex]\frac{2}{3}[/tex]
the sum of the sequence is -243
Step-by-step explanation:
Note that the numbers are decreasing so we will use the following formula to find the sum:
S∞=[tex]\frac{t1}{1-q}[/tex],
where t1 is equal to the first number of the sequence and q is the reason that gives the following results.
to find q this form is used;
q= [tex]\frac{t2}{t1}= \frac{-54}{-81} =\frac{2}{3}[/tex]
then we replace in the formula of the sum to find the total