Form an algebric expression to give the number of line segments required to make the pattern given below and find the number of line segments required for 10 houses.

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Solution

No. of lines required $= 6 + 5 (x - 1)$
$= 1 + 5 x$ where $x =$ no. of houses.
$∴$ for $10$ houses, no. of sticks required $= 51$

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Form an algebric expression to give the number of line segments required to make the pattern given below and find the number of line segments required for 10 houses.

No. of lines required =6+5(x−1) =1+5x where x= no. of houses.∴ for 10 houses, no. of sticks required =51

No. of lines required $= 6 + 5 (x - 1)$
$= 1 + 5 x$ where $x =$ no. of houses.
$∴$ for $10$ houses, no. of sticks required $= 51$