A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2
Answer: No Solutions exist
Step-by-step explanation:
We have the following system of equations

Rewriting the second equation we have:

Now we multiply the first equation by -3 and add it to the second equation

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Equality is not satisfied. Then the system has no solution
We need to find which statement is not true:
Let us check each statement:
-They are opposite numbers.
Opposite numbers have the same distance away from zero. Hence, 7 and -7 are opposite numbers.
-They form a zero pair:
7-7 =0, the statement is true.
- They have the same absolute value
The absolute value is the not negative value no matter the sign.
Hence, l7l= 7 and l-7l= 7.
-They have a sum of -14.
Then:
7+(-7) = 0
Therefore, the last statement "They have a sum of -14" is not true.
Answer:
x=11/2
Step-by-step explanation:
5x-1=3x+10
2x-1=10
2x=11
x=11/2