Answer:
y= 6
Step-by-step explanation:
A horizontal line means y = something ( the x value will change, but y remains the same)
In this case, the y value is 6
y= 6
Answer:
The second one.
Step-by-step explanation:
Answer:
last choice
Step-by-step explanation:
If we are looking at positive integers and we take out the odd ones, the only one's that are left are the even ones.
So last choice. (Also I assume AC meant the complement of A)
There should only be one step necessary
(4m-1) / m = 4 - 1/m
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
