हिंदी

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?

Advertisements
Advertisements

प्रश्न

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?

योग
Advertisements

उत्तर

Let the number be n

So, according to the statement, the expression can be written as = 2n + 1

Yes, the result is always an odd number, because when a number becomes multiplied by 2, it becomes even and addition of 1 in that even number makes it an odd number.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Algebraic Expressions - Exercise [पृष्ठ ३२८]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar Class 7
अध्याय 10 Algebraic Expressions
Exercise | Q 96. | पृष्ठ ३२८

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: x2y4


Write down the following in the product form: 6y5


If 9 is added to a certain number, the result is 36. Find the number.


If a number is tripled and the result is increased by 5, we get 50. Find the number.


Find two numbers such that one of them is five times the other and their difference is 132.


The sum of two consecutive even numbers is 74. 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?


Deepak is twice as old as his brother Vikas. If the difference between their ages is 11 years, find 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 area of a square having each side x is ______.


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.)


A cube is a three-dimensional figure as shown in the given figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by l. Find the formula for the total length of the edges of a cube. 


To find sum of three numbers 14, 27 and 13, we can have two ways:

  1. We may first add 14 and 27 to get 41 and then add 13 to it to get the total sum 54 or
  2. We may add 27 and 13 to get 40 and then add 14 to get the sum 54. Thus, (14 + 27) + 13 = 14 + (27 + 13)

This can be done for any three numbers. This property is known as the associativity of addition of numbers. Express this property which we have already studied in the chapter on whole numbers, in a  general way, by using variables a, b and c.


The expression for the number of diagonals that we can make from one vertex of a n sided polygon is ______.


The speed of car is 55 km/hrs. The distance covered in y hours 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 natural numbers from 11 to 30.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×