Respuesta :
1) 7² - 6² = 49 - 36 = 13
In short, We need 13 blocks to add to square 6 to get 7
2) 10² - 9² = 100 - 81 = 19
In short, We need 19 blocks to add to square 9 to get 10
3) 20² - 19² = 400 - 361 = 39
In short, We need 39 blocks to add to square 19 to get 20
Hope this helps!
In short, We need 13 blocks to add to square 6 to get 7
2) 10² - 9² = 100 - 81 = 19
In short, We need 19 blocks to add to square 9 to get 10
3) 20² - 19² = 400 - 361 = 39
In short, We need 39 blocks to add to square 19 to get 20
Hope this helps!
13 blocks are needed to add to Square 6 to get square 7.
19 blocks are needed to add to Square 9 to get square 10.
39 blocks are needed to add to Square 19 to get square 20.
We are given squares 3, squares 4, squares 5, and squares 6 with different numbers of blocks in each square.
We need to find a pattern within the squares sequence and find the number of blocks needed to add to the following to get the given square number.
- Blocks to add to square 6 to get square 7
- Blocks to add to square 9 to get square 10
- Blocks to add to square 19 to get square 20
What is the square of the natural number from 1 to 20?
We have,
1² - 1
2²- 4
3²- 9
4² - 16
5² - 25
6² - 36
7² - 49
8² - 64
9² - 81
10² - 100
11² - 121
12² - 144
13² - 169
14² - 196
15² - 225
16² - 256
17² - 289
18² - 324
19² - 361
20² - 400
The number of blocks in the given square is:
Square 3 - 9 blocks
Square 4 - 16 blocks
Square 5 - 25 blocks
Square 6 - 36 blocks
We see that the number of blocks in each square corresponds to the squares of the number of the square.
So,
Square 6 will have 6² = 36 blocks.
Square 7 will have 7² = 49 blocks.
Square 9 will have 9² = 81 blocks.
Square 10 will have 10² = 100 blocks.
Square 19 will have 19²= 361 blocks.
Square 20 will have 20² = 400 blocks.
Let us calculate, the number of blocks needed to add -
To Square 6 to get square 7
49 - 36 = 13 blocks
To Square 9 to get square 10
100 - 81 = 19 blocks
To Square 19 to get square 20
400 - 361 = 39 blocks
Thus,
13 blocks are needed to add to Square 6 to get square 7.
19 blocks are needed to add to Square 9 to get square 10.
39 blocks are needed to add to Square 19 to get square 20.
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