Answer: first option
Step-by-step explanation:
To form an arithmetic sequence, you have that for the sequence :
Therefore, to calculate the value of k to form an arithmetic sequence, you must solve for k, as following:
- Add like terms:
- Divide both sides by 12. Then you obtain;
The tick mark one on the left of -1 is -1/6
The tick mark 1 on the right of 2 is 11/6
Let us assume the first even number = n
The second consecutive even number = n + 2
The third consecutive even number = n + 4
The addition of the three consecutive even numbers is 42 and it is already given in the question. Based on the information's given in the question, the answer can be easily deduced.
Then, the equation can be written as
n + (n + 2) + (n + 4) = 42
3n + 6 = 42
3n = 42 - 6
3n = 36
n = 36/3
= 12
So
The first even number = 12
The second consecutive even number = n + 2
= 12 + 2
= 14
The third consecutive even number = n + 4
= 12 + 4
= 16
So the three consecutive even numbers are 12, 14, 16.
This could be written as 7c-91
Product means multiplication. The problem could be set up as the equation 7*(c-13). You would then distribute 7 for c-13 which will give you the expression 7c-91.
I'm pretty sure 92 83/125 is already simplified.