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)
The first one is negative 1
Joseph's claim about the polynomial multiplicity is correct
<h3>How to interpret the graph?</h3>
From the graph, we have the x-intercepts to be
x = -3
x = 1
x = 4
At x = 4, the graph do not cross the x-axis;
But instead, it has a turning point at this point
This means that there is a multiplicity of 2 at x = 4
So, we have:
Degree = 1 + 1 +2
Degree = 4
Hence, Joseph's claim is correct
Read more about polynomials at:
brainly.com/question/4142886
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Answer:
30 in^2
Step-by-step explanation:
get sides: 15, 18
multiply sides by 1/3: 5, 6
get area of square: 5*6= 30
