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# Challenge 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

**Solution:**

Given, n be any __odd number__

We have to write an __expression__ for the sum of 1 and twice a number n

We have to determine if the result will always be an odd number.

Twice a number n = 2n

Sum of 1 and twice a number n = 1 + 2n

Therefore, the required expression is 1 + 2n

Let us take the value of n as an odd number.

Example: If n = 3

Now, 1 + 2n = 1 + 2(3)

= 1 + 6

= 7

Therefore, the result of the expression 1 + 2n will always be an odd number

**✦ Try This: **P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R. Find the value of R

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 12

**NCERT Exemplar Class 7 Maths Chapter 10 Problem 96**

## Challenge 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?

**Summary:**

An expression for the sum of 1 and twice a number n is 1 + 2n. If n is an odd number, then the result will always be an odd number.

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