<h2>
Answer:</h2>
Option: C is the correct answer.
C. 
<h2>
Step-by-step explanation:</h2>
The sequence is given by the explicit formula as:
where 
is the nth term of the sequence.
Also, the first term of the sequence is: 
i.e.
Also,
Hence, the recursive formula which represents the same sequence is:
Option: C
Answer:
-156250
Step-by-step explanation:
The pattern is multiplying by -5.
2, -10, 50, -250, 1250, -6250, 31250, -156250
The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
What is Quadratic equation?
An algebraic equation of the second degree is called a quadratic equation.
Given that;
A quadratic equation is;
3x² = -12x - 15
Now, The equation is written as;
3x² + 12x + 15 = 0
Take 3 common, we get;
3 (x² + 4x + 5) = 0
x² + 4x + 5 = 0
Factorize the equation by using Sridharacharya Formula;
x = - 4 ± √4² - 4*1*5 / 2*1
x = -4 ± √16 - 20 / 2
x = - 4 ± √-4 / 2
Since, √-1 = i
x = -4 ± 2i / 2
x = - 2 ± i
It gives two values of x as;
x = - 2 + i
And, x = - 2 - i
Hence, The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
Learn more about the quadratic equation visit:
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Answer:
Property of Addition
Step-by-step explanation:
