Question

Observe the pattern of the letters made using matchsticks. How many matchsticks are required to form the sixth element of this pattern?​

• A. 30
• B. 26
• C. 24
• D. 32

Answer 1

The correct option is B 26

As we can see the number of matchsticks required to make the first level $=6=6+4\times (1-1)$
Number of matchsticks required for second level $=10=6+4\times (2-1)$
Number of matchsticks required for third level $=14=6+4\times (3-1)$

$\Rightarrow$ Number of matchsticks required for the $n^{th}$ level $=6+4\times (n-1)$

Now, we've to find the number of matchsticks required to form sixth level of same kind.
So, substituting $n=6$ in $6+4\times (n-1)$, we have
$\Rightarrow 6+4\times (6-1)=6+4\times 5=6+20=26$

Hence, option b is correct.