Class 9th Maths Ganita Manjari - Part I Chapter 2: Introduction to Linear Polynomials Exercise 7: End-Of-Chapter Exercises Question 12 (ii) Solution

Question

Look at the first three stages of a growing pattern of hexagons made using matchsticks. A new hexagon gets added at every stage which shares a side with the last hexagon of the previous stage. (ii) Complete the following table. TABLE#START header=true headerBold=true headerAlign=center|center bodyAlign=center|center colWidths=50|50 headerBg=#e2e8f0 bodyBg=#ffffff COL#1 Stage Number COL#2 Number of matchsticks COL#1 1 COL#2 $ $ COL#1 2 COL#2 $ $ COL#1 3 COL#2 $ $ COL#1 4 COL#2 $ $ COL#1 5 COL#2 $ $ COL#1 $...$ COL#2 $ $ COL#1 $n$ COL#2 $ $ TABLE#END

Accepted Answer

Use the expression found in the previous question.
 	ext{Matchstick count in the $n$th stage = $6 + 5(n - 1)$} Complete the table using the expression.
 ${green}	extbf{Answer: Number of matchsticks at different stages}{/green}$|||TABLE#START header=true headerBold=true headerAlign=center|center bodyAlign=center|center colWidths=50|50 headerBg=#e2e8f0 bodyBg=#ffffff|||COL#1 Stage Number COL#2 Number of matchsticks|||COL#1 1 COL#2 6|||COL#1 2 COL#2 11|||COL#1 3 COL#2 16|||COL#1 4 COL#2 21|||COL#1 5 COL#2 26|||COL#1 $...$ COL#2 $ $|||COL#1 $n$ COL#2 $6 + 5(n - 1)$|||TABLE#END

Question: 12 (ii)

Answer