There are 2 books on the first shelf,6books on the second shelf,12 books on the third shelf and 20 books on the the fourth shelf how many books on the tenth shelf. What do I do i need help
let's look to see if we can find a pattern
1-2 >>> 1x2
2-6 >>> 2x3
3-12 >>>3x4
4-20 >>> 4x5
...
looks like if n is the shelf number, then the number of books is n(n+1)
so on the 10th shelf, there would be 10x11 or 110 books
Sure hope that bookshelf is strong.
To find out how many books are on the tenth shelf, let's observe the pattern.
Based on the information given, we can see that the number of books increases by 4 for each subsequent shelf. The number of books on each shelf can be represented by the pattern:
1st shelf: 2 books
2nd shelf: 2 + 4 = 6 books
3rd shelf: 6 + 4 = 10 books
4th shelf: 10 + 4 = 14 books
...
To find the number of books on the tenth shelf, we need to continue this pattern up to the tenth shelf:
5th shelf: 14 + 4 = 18 books
6th shelf: 18 + 4 = 22 books
7th shelf: 22 + 4 = 26 books
8th shelf: 26 + 4 = 30 books
9th shelf: 30 + 4 = 34 books
10th shelf: 34 + 4 = 38 books
Therefore, there are 38 books on the tenth shelf.