Answer:
n^2 + 3.
Step-by-step explanation:
4 7 12 19
Differences are 3 5 7 so this a quadratic sequence.
2nd difference = 2 2
So the first part of the expression is n^2
Terms: 4 7 12 19
n^2 1 4 9 16
Difference = 3 3 3 3 3
So the answer is n^2 + 3.
First, rewrite the equation, separating the terms inside the parentheses and multiplying each by the term preceding the parenthesis, remembering that the product of two negatives is a positive, and likewise (later) with quotients:
(-3 * 12) + (-3 * (-m)) = (-1 * m) + (-1 * (-8))
-36 + 3m = -m + 8
Subtract 8 from both sides:
(-36 - 8) + 3m = -m + (8 - 8)
-44 + 3m = -m
Divide each term by -m:
(-44 / (-m)) + (3m / (-m)) = -m / (-m)
(44 / m) - 3 = 1
Add 3 to both sides:
(44 / m) - 3 + 3 = 1 + 3
44 / m = 4
(is the answer jumping out at you yet?) :-)
Multiply both sides by m:
(44 / m) * m = 4m
44 = 4m
Divide both sides by 4:
44 / 4 = m
11 = m
Verify by substituting for m in the original equation:
-3(12 - m) = -1(m - 8)
-3(12 - 11) = -1(11 - 8)
-3(1) = -1(3)
-3 = -3
Voila! That's it!
No clue u can do it I believe in u and in your skills in playin that game
