Question 12 Marks
i. In the following pattern, draw the next two figures.

ii. Construct a table to describe the figures in the above pattern.
iii. If $n$ denotes the number of figures and $L$ denotes the number of matches, find $L$ in terms of $n$.
iv. Find how many matches are required to make the :
(1) 12 th figure
(2) 20th figure

ii. Construct a table to describe the figures in the above pattern.
iii. If $n$ denotes the number of figures and $L$ denotes the number of matches, find $L$ in terms of $n$.
iv. Find how many matches are required to make the :
(1) 12 th figure
(2) 20th figure
Answer
View full question & answer→i.

ii.
iii. $
L =2 n
$
(1) 12th figure 12th figure has $=2 \times 12=24$
(2) 20 th figure $=2 \times 20=40$

ii.
| n | 1 | 2 | 3 | 4 | 5 |
| L | 2 | 4 | 6 | 8 | 10 |
L =2 n
$
(1) 12th figure 12th figure has $=2 \times 12=24$
(2) 20 th figure $=2 \times 20=40$
