Advertisements
Advertisements
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 | - |
Advertisements
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.
How many segments are required to form 5, 10, 100 digits of the kind −
Write down the following in the product form: 9xy2z
Write down the following in the product form: 10a3b3c3
If 11 is subtracted from 4 times a number, the result is 89. Find the number.
Find a number which when multiplied by 5 is increased by 80.
One out of two numbers is thrice the other. If their sum is 124, find the numbers.
The sum of three consecutive odd numbers is 21. Find the numbers.
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
A man is thrice as old as his son. Five years ago the man was four times as old as his son. Find their present ages.
The two digit number whose ten’s digit is ‘t’ and units’s digit is ‘u’ is ______.
If I spend f rupees from 100 rupees, the money left with me is ______ rupees.
The diameter of a circle is a line which joins two points on the circle and also passed through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre.) Express the diameter of the circle (d) in terms of its radius (r).
The side length of the top of square table is x. The expression for perimeter is ______.
In a rectangular plot, 5 square flower beds of side (x + 2) metres each have been laid (see the figure). Find the total cost of fencing the flower beds at the cost of ₹ 50 per 100 metres:
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 7.
If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
`1/2`
+ 
– 3
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
– 
