Question

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

Sum of three consecutive integers

Answer 1

Find out the sum of three consecutive integers

Consecutive integers are those which have difference of $1$ for example $-2,-1,0,1,2.$

If $\mathrm{n}$ represents the first integer then three consecutive integers are $\mathrm{n},\mathrm{n}+1,\mathrm{n}+2$

Now, the sum of three consecutive integers $=\mathrm{n}+(\mathrm{n}+1)+(\mathrm{n}+2)$

Hence, the required expression of above statement algebraically is $\mathrm{n}+(\mathrm{n}+1)+(\mathrm{n}+2)$.