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**Hint:**Assume the number to be $x$ and then note the next numbers and then accordingly find the new average. Apply an average formula.

**Complete step-by-step answer:**Let us assume the first number to be $x$. Therefore the next four consecutive numbers are $x + 1,x + 2,x + 3,x + 4$. Average is the sum of observations divided by the number of observations.

Average = Sum of Observations/ Number of Observations

Applying this concept, we get $\dfrac {{x + x + 1 + x + 2 + x + 3 + x + 4}}{5} = \dfrac {{5x + 10}}{5} = n$

Therefore $5x + 10 = 5n$ and after solving this equation we get $x = n - 2$. When we add the next two numbers, we get $5x + 10 + x + 5 + x + 6 = 7x + 21$. Therefore, the new average is $\dfrac {{7x + 21}}{7} = x + 3$. Substituting the value of $x = n - 2$, the value of the new average in terms of n is $n - 2 + 3 = n + 1$.

The previous average of numbers is $n$ and the new average is $n + 1$. So, the average increases by 1.

**So, the correct option is option C.**

**Note:**We could have easily solved the problem by assuming any five consecutive numbers but, this was only possible in this case because they have given five numbers. It would have been a big problem for us if it were fifty, hundred, two hundred or even a thousand numbers or more than that. Thus, using algebra by assuming a variable would help us greatly in this field because it would help us reduce the load of our calculations and give the answer quickly.

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