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Question
Use the given algebraic expression to complete the table of number patterns.
| S. No |
Expression |
Terms | |||||||||
| 1st | 2nd | 3rd | 4th | 5th | ... | 10th | ... | 100th | ... | ||
| 1 | 2n - 1 | 1 | 3 | 5 | 7 | 9 | - | 19 | - | - | - |
| 2 | 3n + 2 | 5 | 8 | 11 | 14 | - | - | - | - | - | - |
| 3 | 4n + 1 | 5 | 9 | 13 | 17 | - | - | - | - | - | - |
| 4 | 7n + 20 | 27 | 34 | 41 | 48 | - | - | - | - | - | - |
| 5 | n2 + 1 | 2 | 5 | 10 | 17 | - | - | - | - | 10001 | - |
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Solution
| S. No |
Expression |
Terms | |||||||||
| 1st | 2nd | 3rd | 4th | 5th | ... | 10th | ... | 100th | ... | ||
| 1 | 2n - 1 | 1 | 3 | 5 | 7 | 9 | - | 19 | - | 199 | - |
| 2 | 3n + 2 | 5 | 8 | 11 | 14 | 17 | - | 32 | - | 302 | - |
| 3 | 4n + 1 | 5 | 9 | 13 | 17 | 21 | - | 41 | - | 401 | - |
| 4 | 7n + 20 | 27 | 34 | 41 | 48 | 55 | - | 90 | - | 720 | - |
| 5 | n2 + 1 | 2 | 5 | 10 | 17 | 26 | - | 101 | - | 10001 | - |
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= 2x + 3, 
= `3/2x + 7` and 
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+ 
– 
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+ 
– 3
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