Answer:
Step-by-step explanation:
A geometric sequence is a sequence in which the successive terms increase or decrease by a common ratio. The formula for the nth term of a geometric sequence is expressed as follows
Tn = ar^(n - 1)
Where
Tn represents the value of the nth term of the sequence
a represents the first term of the sequence.
n represents the number of terms.
From the information given,
r = 1/3
T3 = - 81
n = 3
Therefore,
- 81 = a× 1/3^(3 - 1)
-81 = a × (1/3)^2
-81 = a/9
a = -81 × 9 = - 729
The exponential equation for this sequence is written as
Tn = - 729 * (1/3)^(n-1)
1) Name the variables:
A: number of model cars Andre has
P: number of model cars Peter has
J: number of model cars Jade has.
2) Statements:
<span>Andre
has 4 times as many model cars as Peter: A = 4 P
Peter has one-third as
many model cars as Jade: P = J / 3
Andre has 36 model cars: A = 36
3) Write and solve an
equation to find how many model cars Peter has.
A = 4P => A/4 = P
=> P = A / 4
=> P = 36 / 4 = 8
4) Using your answer from
part a, write and solve an equation to find how many model cars Jade has.
P = J / 3 => J = 3P
=> J = 3 (8) = 24
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