Question

The square tiles given here are arranged to show a pattern. Which expression can be used to determine the number of square tiles in Stage $n?$

• A. $4n+3$
• B. $5n+2$
• C. $n^2+6$
• D. $n^3+6$

Answer 1

The correct option is B $5n+2$

Stage $1$ comprises of $7$ tiles.

Stage $2$ comprises of $12$ tiles.

Stage $3$ comprises of $17$ tiles.

Stage $4$ comprises of $22$ tiles.

By hit and trial we will check every option.

Thus, $5n+2$ is correct answer.

Hence, Option B is correct.