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: 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.
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.
Reena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what are their present ages?
The two digit number whose ten’s digit is ‘t’ and units’s digit is ‘u’ is ______.
If m is a whole number, then 2 m denotes a multiple of 2.
The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
The side length of the top of square table is x. The expression for perimeter is ______.
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 ______.
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 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 7.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 19.
If
= `3/4x - 2` and
= x + 6, then find the value of:
2
– `3/2`![]()
