Question

Express the following algebraically if $\mathrm{n}$ represents the first number in each case.

Sum of three consecutive odd integers

Answer 1

Odd integers are those integers which are not divisible by $2$ and consecutive odd integers always have difference of $2$ .

If$\mathrm{n}$ represent the first odd integer then

The three consecutive odd integers are$n+\left(n+2\right)+\left(n+4\right)$

Therefore, the sum of three consecutive odd integers $=n+\left(n+2\right)+\left(n+4\right)$

Hence, the required expression of above statement algebraically is$n+\left(n+2\right)+\left(n+4\right)$.