Given a sequence is defined by the explicit definition t_n= n^2+nt n = n 2 + n, find the 4th term of the sequence. (i.e. t_4t 4)
2 answers:
Answer:
Question 1: 20
Question 2: 27
Step-by-step explanation:
Question 1:
Given a sequence is defined by the explicit definition
Therefore, the 4th term i.e. (Answer)
So, the third option is correct.
Question 2:
Given a sequence is defined by the explicit definition
Therefore, the 5th term i.e. (Answer)
So, the third option is correct.
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Answer:
x=0 , x=-3
Step-by-step explanation:
Apply all exponent rules:
=
×
=
Rewrite equation with
×
+
- 28 = 0
Solve for u to give :
u = 1, u = 1/27
Substitute back u = , solve for x :
= 1 , x= 0
, x= -3
x=0 , x=-3
Substituting x back into original equation verifies our answers
Slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
Let's find m, the slope:
The formula for slope when using two points on a line is:
In this case...
^^^Plug these numbers into the formula for slope...
1
^^^This is your slope
So far this is our equation:
y = 1x + b OR y = x + b
Now let's find b, the y-intercept:
To do that you must plug in the point the line goes through in the x and y of the equation.
For this question I have chosen to plug in the point (-1, -5)
-5 = -1 + b
-5 + 1 = -1 + 1 + b
-4 = 0 + b
-4 = b
Your equation is:
y = x - 4
Hope this helped!
~Just a girl in love with Shawn Mendes