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 | - |
APPEARS IN
संबंधित प्रश्न
Write down the following in the product form: 9xy2z
Write down the following in the product form: 10a3b3c3
Find two numbers such that one of them exceeds the other by 18 and their sum is 92.
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.
Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, find their present ages.
Mrs. Goel is 27 years older than her daughter Rekha. After 8 years she will be twice as old as Rekha. Find their present ages.
A man is 4 times as old as his son. After 16 years he will be only twice as old as his son. Find their present ages.
If I spend f rupees from 100 rupees, the money left with me is ______ rupees.
If m is a whole number, then 2 m denotes a multiple of 2.
The side of a regular hexagon is denoted by l. Express the perimeter of the hexagon using l.
(Hint: A regular hexagon has all its six sides equal in length.)

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 expression for the number of diagonals that we can make from one vertex of a n sided polygon is ______.
A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:
- How much wire is left?
- If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 5 natural numbers.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 7.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 19.
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?
