Answers:
The next two terms are 67.5 and 101.25 in that order.
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Explanation:
Divide the second term over the first to get 30/20 = 1.5
Divide the third term over the second term to get 45/30 = 1.5
The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term
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fourth term = 1.5*(third term) = 1.5*45 = 67.5
fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25
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As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.
Answer:
(t+1)(t^2+1)
Step-by-step explanation:
t^3+t^2+t+1
(t+1)(t^2+1)
We know that the root of 64 is 8 and the root of 16 is 4.
=

The simplified form of

is

.
5x^2+8x+3=0
factor
(5x+3) (x+1)=0
using the zero product property
5x+3 =0 x+1 =0
5x=-3 x=-1
x=-3/5 x=-1