A cereal company adds baseball cards to the 3rd box, the 6th box, the 11th box the 18th box, and so on of each case of cereal. In a case of 40 boxes, how many boxes will have baseball cards? Explain how you got your answer.

Explanation:

The sequence 3, 6, 11, 18 has gaps of 3, 5, 7

Subtract the adjacent values to find the gaps.

If this pattern continues, then we'd have this extended sequence

3, 6, 11, 18, 27, 38, 51

We stop once we reach 40 or get over it

Notice that

The sequence {3,6,11,18,27,38} has 6 values listed. So 6 boxes will get a baseball card.

x=half

step-by-step explanation: