Question

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 explanation

topic: Matchstick pattern
Chapter : Algebra
Grade : 6
Subject: Mathematics
NCERT

Answer 1

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