We can figure this out using the explicit formula.
n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.
Answer:
The solution of the given quadratic equation is 1 and (-10).
Step-by-step explanation:
Solving equation by quadratic formula:
Here , a = 1,b = 9, c = (-10)
The solution of the given quadratic equation is 1 and (-10).
Answer:
{ -2,-1,0,1}
Step-by-step explanation:
The domain are the values for the input
Domain { -2,-1,0,1}
Answer:
7
Step-by-step explanation:
22+54x=20+60x
54x=-42+60x
-6x=-42
x=7
To solve problems like this, we must simply break it down and read each part carefully. We can also set it up as a math problem to make it easier to visualize.
The elevator starts on the twentieth floor, so we will represent that with 20.
20
It goes down 11 floors, so we can represent that with a -11.
20-11=9
Now we are on floor 9. Then, we go up 5 floors, so we can represent that with a 5.
9+5=14
Using the math above, we can see the elevator is on the 14th floor.