Answer:
x=66
Step-by-step explanation:
A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x
Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
Answer:
Step-by-step explanation:
<u>Given recursive formula:</u>
- a₁ = -1
- aₙ = - 3aₙ₋₁ + 6 for n ≥ 2
<u>The first 4 terms are:</u>
- a₁ = - 1, given
- a₂ = - 3*(-1) + 6 = 3 + 6 = 9
- a₃ = - 3*(9) + 6 = - 27 + 6 = - 21
- a₄ = - 3*(-21) + 6 = 63 + 6 = 69
Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute 
and 
into the equation above:
Since 
= -2 and 
= -8 , after simplification we have:
The solution of this system is:
The general term is :
