Observe the given figure and complete the pattern.
Number of Quadrilaterals $1$ $2$ $3$ $4$ $6$ $9$ $11$
Number of Dots $4$ $6$ $8$ _ _
_
_

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Solution

On Increasing 1 quadrilaterals , 2 dots get increased.

This forms AP with a = 4 , d = 2

$\Rightarrow a_{4} = 4 + 3 \times 2 = 10$

$a_{6} = 6 + 5 \times 2 = 16$

$a_{9} = 9 + 8 \times 2 = 25$

$a_{11} = 11 + 10 \times 2 = 31$

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Question 4(b)

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Number of Quadrilaterals	$1$	$2$	$3$	$4$	$6$	$9$	$11$
Number of Dots	$4$	$6$	$8$	___	___	___	___

Observe the given figure and complete the pattern.Number of Quadrilaterals12346911Number of Dots468____________

On Increasing 1 quadrilaterals , 2 dots get increased.This forms AP with a = 4 , d = 2 ⇒a4=4+3×2=10a6=6+5×2=16a9=9+8×2=25a11=11+10×2=31

Observe the given figure and complete the pattern.
Number of Quadrilaterals $1$ $2$ $3$ $4$ $6$ $9$ $11$
Number of Dots $4$ $6$ $8$ _ _
_
_

On Increasing 1 quadrilaterals , 2 dots get increased.

This forms AP with a = 4 , d = 2

$\Rightarrow a_{4} = 4 + 3 \times 2 = 10$

$a_{6} = 6 + 5 \times 2 = 16$

$a_{9} = 9 + 8 \times 2 = 25$

$a_{11} = 11 + 10 \times 2 = 31$