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9514 1404 393
Answer:
-108
Step-by-step explanation:
About the easiest way to do this for small values of n is to compute each of the terms using the given recurrence relation.
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<em>Alternate solution</em>
You recognize that the recurrence relation describes a geometric sequence with a first term of 4 and a common ratio of -3. The n-th term of a geometric sequence is ...
Then the 4th term will be ...
|2x + 12| = 18
First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. /
Subtract 12 from both sides. /
Subtract 18 - 16. /
Divide both sides by 2. /
Simplify. /
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. /
Add 12 to both sides. /
Add 18 + 12. /
Divide both sides by -2. /
Simplify. /
Simplify. /
Fourth, collect the solutions. /
Answer: x = -15, 3
First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. /
Subtract 12 from both sides. /
Subtract 18 - 16. /
Divide both sides by 2. /
Simplify. /
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. /
Add 12 to both sides. /
Add 18 + 12. /
Divide both sides by -2. /
Simplify. /
Simplify. /
Fourth, collect the solutions. /
Answer: x = -15, 3