Answer: 7.5
Step-by-step explanation:
The given formula tells us that the next term f(n+1) of the sequence is -0.5 times the previous term f(n)
First term of the sequence is f(1) = 120
Second term of the sequence is f(2) = f(1+1) = -0.5 f(1) = -0.5 (120) = -60
Third term of the sequence is f(3) = f(2+1) = -0.5 f(2) = -0.5 (-60) = 30
Fourth term of the sequence is f(4) = f(3+1) = -0.5 f(3) = -0.5 (30) = -15
Fifth term of the sequence is f(5) = f(4+1) = -0.5 f(4) = -0.5 (-15) = <em>7.5</em>
Answer:
Step-by-step explanation:
Build a Polynomial Knowing its Roots
If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:
Where a is the leading coefficient.
Note the roots appear with their signs changed in the polynomial.
If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:
Answer:
an = 6 +5(n-1)
an = 1 +5n
Step-by-step explanation:
The equation for an arithmetic term is
an =a1 +d(n-1)
where a1 is the 1st term and d is the common difference
an = 6 +5(n-1)
We can distribute the 5
an = 6+5n-5
an = 1 +5n
Answer:
Amount= $2933.2
Step-by-step explanation:
The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years
A= p(1+r/n)^(nt)
P= $2500
r= 4/100= 0.04
t= 4
n = 4*4= 16
A= 2500(1+0.04/16)^(16*4)
A= 2500(1+0.0025)^(64)
A= 2500(1.0025)^64
A= 2500(1.17328)
A= 2933.2
Amount= $2933.2
The answer would be y = 3.1
19.9 + 8 = 9y
27.9 = 9y
27.9/9 = y
3.1 = y
y = 3.1.
