Answer:
= 5i
Step-by-step explanation:
5i
Answer: option D) An = 3an - 9a
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
Frist convert the mixed fraction to make it easier.
9/4
Then find the lowest common denominator (LCD) which in this case is 12 so multiply them both by fancy ones inorder for them to combine.
5/6 × 2/2 = 10/12
9/4 × 3/3 = 27/12
And now we can add them together.
10/12 + 27/12 = 37/12 = 3 and 1/12
2x-4y=24
X+3y=7 (-2)
2x-4y=24
-2x-6y=-14
——————-
0 -10y=10
Y=-1
Reemplazar y en la ecuación
2x-4(-1)=24
2x+4=24
2X=20
X=10
Y=-1, X= 10
Hope this helps
