Answer:
Tn=12n(n+1)
Step-by-step explanation:
Explanation:
These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:
T1=1=1
T2=3=1+2
T3=6=1+2+3
etc.
Notice that:
2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n
2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1
2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)
2Tn=n(n+1)
So:
Tn=12n(n+1)
The answer is -3.
To find this, we simply have to solve the equation and leave only the blank and the parenthesis that it is with on the right side. Then we can divide by the parenthesis. The work for this is done for you below.
____(x - 3) + 2x = -(x - 5) + 4 ----> Distribute the -1 to the parenthesis.
____(x + 3) + 2x = -x + 5 + 4 ----> Simplify
____(x + 3) + 2x = -x + 9 ----> Subtract 2x from both sides
____(x + 3) = -3x + 9 ------> Divide both sides by x + 3
____ = -3.
Answer:
C I think
Step-by-step explanation:
Hehehehehehe
Answer:
50
Step-by-step explanation:
70+60 =130
180-130 = 50 degrees
Answer:
See below
Step-by-step explanation:
Recall that we need to use the equation y=a(x-h)^2+k. This means that h=-2 instead of 2 otherwise it would've been (x-2)^2-6. So Renaldo made the mistake of identifying h as 2 instead of -2. The second mistake Renaldo made is that since k=-6, there should be a vertical shift of 6 units down not 2.
