The Missing Number Puzzle
A shopkeeper arranges boxes in a pattern. The first row has 2 boxes, the second row has 5 boxes, the third row has 8 boxes, and so on. If this pattern continues, how many boxes will be in the 10th row?
A box of biscuits
A box of biscuits contains 36 biscuits. 20 biscuits have foil wrappers. 15 are chocolate biscuits with foil wrappers. If 9 are not chocolate and do not have a foil wrapper, then how many chocolate biscuits are there?
The given pattern shows that each row has 3 more boxes than the previous one:
ReplyDelete1st row: 2 boxes
2nd row: 5 boxes (2 + 3)
3rd row: 8 boxes (5 + 3)
4th row: 11 boxes (8 + 3)
This forms an arithmetic sequence where:
First term (a) = 2
Common difference (d) = 3
To find the number of boxes in the 10th row, we use the formula for the nth term of an arithmetic sequence:
nth term = a + (n - 1) × d
For n = 10:
= 2 + (10 - 1) × 3
= 2 + 9 × 3
= 2 + 27
= 29
So, the 10th row will have 29 boxes.