Answer:
a(4) = 15/4
Step-by-step explanation:
Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.
Thus, the geometric sequence formula specific to this case is
a(n) = 30(1/:2)^(n-1).
What is the fourth term? Let n = 4,
a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,
a(4) = 15/4.
Answer:
x=2
Step-by-step explanation:
3^2x = 81
3^2x = 3^4
Compare powers
2x = 4
x = 2
Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.
Combine like terms:
6b+10=20.
Subtract 10 from both sides:
6b+10-10=20-10
6b=10.
Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.
Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.
Hope this helps!
