What is the explicit rule for this geometric sequence?
4, 4/5, 4/25, 4/125,…
What is the recursive rule for this geometric sequence?
1/2, −2, 8, −32,...
What is the explicit rule for this geometric sequence?
a1=2/3;an=9⋅an−1
A business owes $8000 on a loan. Every month, the business pays 1/2 of the amount remaining on the loan.
How much will the business pay in the sixth month?
+128406 4, 4/5, 4/25, 4/125 ..... = 4(1/5)^(n - 1) where n is the nth term
1/2, -2, 8 , - 32......
a1 = (1/2) , an = (-4) *an-1
a1=2/3;an=9⋅an−1
The terms are 2/3, 6, 54, 486......so the explicit formula is
(2/3)*9^(n - 1) where n is the nth term
8000*(1/2)^6.......in the 6th month, the business pays $125
