Find the product of (x − 3)2
1 answer:
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Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
The growth factor of the exponential function represented by the table is 5.
The correct option is c.
<h3>What is the growth factor of the exponential function?</h3>The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).
The growth factor of the exponential function is given by;
As per given, we have a table;
x y
-2 0.004
-1 0.02
0 0.1
1 0.5
The value is -2 and
is -1.
Therefore,
the growth factor of the exponential function represented by the table would be :
Hence, the growth factor of the exponential function represented by the table is 5.
To know more about the Growth factor click the link given below.