Input 12 for n.
= -16 + 2(12)
= -16 + 24
= 8
The 12th term in the sequence is 8.
Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
Answer:
The first question:
x = -1
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-x - 1 = -1 • (x + 1)
Equation at the end of step 1 :
Step 2 :
Solving a Single Variable Equation :
2.1 Solve : -x-1 = 0
Add 1 to both sides of the equation :
-x = 1
Multiply both sides of the equation by (-1) : x = -1
One solution was found :
x = -1
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Answer:
Step-by-step explanation:
So we have the expression:
And we want to evaluate it for x=-2.
So, substitute -2 for x:
Multiply:
Subtract:
The absolute value of a negative is positive. So:
And we're done!
