Advertisements
Advertisements
Question
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
Solution
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.
APPEARS IN
RELATED QUESTIONS
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: 10a3b3c3
If 9 is added to a certain number, the result is 36. Find the number.
One out of two numbers is thrice the other. If their sum is 124, find the numbers.
The sum of two consecutive even numbers is 74. Find the numbers.
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.
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.
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 length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?
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:
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 natural numbers from 11 to 30.
The sum of squares of first n natural numbers is given by `1/6n(n + 1)(2n + 1)` or `1/6(2n^3 + 3n^2 + n)`. Find the sum of squares of the first 10 natural numbers.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
– 
