Problem The sum of 5 consecutive even numbers is 310 What is the third number in this sequence?

Choose x to represent the 1st number in the sequence.

The 2nd is x+2.

The 3rd is x+4

The 4th is x+6, and

The 5th is x+8

The sum of these 5 numbers is 5x + 2 + 4 + 6 + 8 = 310

Thus, 5x = 310 - (2+4+6+8) or 5x = 310 - 20. 5x = 290

Then x comes out to be 58.

the 2nd number is 58+2 = 60.

The 3rd number is 60 + 2 = 62. This is the answer.

The third number in this sequence that adds to 3120 is 62