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प्रश्न
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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उत्तर
| 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 | - |
संबंधित प्रश्न
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
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If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
2
+ 
– 
Write an expression for the sum of 1 and twice a number n. If you let n be any odd number, will the result always be an odd number?
