Question

2=3 4=15 7=48 11=120 9=?​

Answer 1

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GIVEN

• 2=3

• 4=15

• 7=48

• 11=120

TO DETERMINE

9 = ?

CALCULATION

We first take a look on the pattern of given numbers

$\sf{For \: 2 \: the \: result \: \: is \: \: 3 = \: {2}^{2} - 1 }$

$\sf{For \: 4 \: the \: result \: \: is \: \: 15 = \: {4}^{2} - 1 }$

$\sf{For \: 7 \: the \: result \: is \: \: 48 = \: {7}^{2} - 1 }$

$\sf{For \: 11 \: the \: result \: is \: \: 120 = \: {11}^{2} - 1 }$

Hence using the above pattern

$\sf{For \: 9 \: the \: result \: \: is \: \: 80= \: {9}^{2} - 1 }$

RESULT

$\boxed{ \sf{ \: \: The \: missing \: \: number \: = \: \: 80 \: \: }}$

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