Your sequence
-8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
(16/3)/(-8) = (-32/9)/(16/3) = -2/3
The general term an of a geometric sequence with first term a1 and ratio r is given by
an = a1·r^(n-1)
For your sequence, this is
an = -8·(-2/3)^(n-1)
Answer: 283
Step-by-step explanation:
To do this, it is helpful to get an equation you can use to solve any term.
This equation is:

So simply plug in 31 for n to get



5.871 is greater than 5.781 because in the tenths place 8 is greater than 7. Also if you round the numbers to the nearest tenth, you get 5.9 versus 5.8
Each month the new total you be
initial amount * 1.024
Repeating the process for a year (=12 months) you get
initial amount * 1.024^12
Being initial amount = $100
100*1.024^12 = $132.92
After 1 year you will have $132.92
34/50= .68 or 68%
hope it helps