What is the 5th term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916
2 answers:
A geometric sequence is given by terms a₁ = 120, a₂ = 36, a₃ = 10.8, a₆ = 0.2916.
The First term is given, a = 120.
Common ratio (r) would be ratio of second term to first term i.e.
The formula for n-th term of geometric sequence is given by as follows :-
It says to find 5th term of this given geometric sequence. For 5th term, n = 5.
Hence, a₅ = 0.972 would be 5th term of the given geometric sequence.
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Answer:
The piece-wise function is;
Step-by-step explanation:
The flat rate for renting the car = $35 per day
The amount charged as insurance fee per day for renting the car for 3 days or less = $10
The insurance fee charged per day when the car is rented for more than 3 days = $5
Let the number of days = x
Therefore, we have;
For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x
For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x
Therefore;
The charge rate for renting the car for less than or equal to 3 days = 45·x
The charge rate for renting the car for more than 3 days = 40·x
The piece-wise function can be presented as follows;