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Answer

Pattern No. of Sticks  
1 4 4 × (1) + 0
2 13 4 × (1 + 2) + 1
3 26 4 × (1 + 2 + 3) + 2
4 43 4 × (1 + 2 + 3  + 4) + 3
5 64 4 × (1 + 2 + 3  + 4 + 5) + 4
n   4 × (1 + 2 + 3  +…..+ n) + (n – 1)

Formula for (1 + 2 + 3  +…..+ n) is n(n + 1) /2

So formula for number of sticks is 4n(n + 1)/2 + (n – 1) or 2n(n + 1) + (n – 1)

 

 

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