If 1 square shape takes 4 matchsticks to Construct one square , 2 squa

1.	If 1 square shape takes 4 matchsticks to Construct one square , 2 squares need 7 matchsticks to construct it , 3 squares need 10 matchsticks to construct it . What will be the general rule for this pattern in algebra .Please answer with explanationtopic: Matchstick patternChapter : AlgebraGrade : 6Subject: MathematicsNCERT
Answer» Answer: GENERAL formula is x = 3N + 1 Step-by-step explanation: Here, 4 MATCHSTICK for first square 7 for second square 10 for third square 13 for fourth square So, in general let n be the number of squares and x be the number of matchsticks. The general formula is x = 3n + 1 where, n = Number of squares let check the algebraic formula Put n = 1, for first square Number of matchstick x = 3n+1 = 3×1+1 = 4 Put n = 2, for second square Number of matchstick x = 3n+1 = 3×2+1 = 6+1 = 7 Put n = 3, for third square Number of matchstick x = 3n+1 = 3×3+1 = 9+1 = 10 Therefore, General formula is x = 3n + 1

If 1 square shape takes 4 matchsticks to Construct one square , 2 squares need 7 matchsticks to construct it , 3 squares need 10 matchsticks to construct it . What will be the general rule for this pattern in algebra .Please answer with explanationtopic: Matchstick patternChapter : AlgebraGrade : 6Subject: MathematicsNCERT

Answer»

Answer:

GENERAL formula is x = 3N + 1

Step-by-step explanation:

Here,

4 MATCHSTICK for first square

7 for second square

10 for third square

13 for fourth square

So, in general let n be the number of squares and x be the number of matchsticks.

The general formula is x = 3n + 1

where, n = Number of squares

let check the algebraic formula

Put n = 1, for first square

Number of matchstick x = 3n+1 = 3×1+1 = 4

Put n = 2, for second square

Number of matchstick x = 3n+1 = 3×2+1 = 6+1 = 7

Put n = 3, for third square

Number of matchstick x = 3n+1 = 3×3+1 = 9+1 = 10

Therefore,

General formula is x = 3n + 1