Answer:
The 2nd number in the sequence is ![2\left(\frac{100}{12}\right)+2](https://tex.z-dn.net/?f=2%5Cleft%28%5Cfrac%7B100%7D%7B12%7D%5Cright%29%2B2)
Step-by-step explanation:
Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10
We are given that The sum of 6 even integers is 130.
So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130
12x+30=130
12x=100
![x=\frac{100}{12}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B100%7D%7B12%7D)
So,the 2nd number in the sequence is ![2\left(\frac{100}{12}\right)+2](https://tex.z-dn.net/?f=2%5Cleft%28%5Cfrac%7B100%7D%7B12%7D%5Cright%29%2B2)