Question

5,6,16,57,?,1245 number series

Answer 1

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Answer 2

$Given \: number \:sequence : \\ 5,6,16,57,\red{?} , 1245$

$Observe \:the\: series , we \:find \: following \\pattern$

$First \:term = \blue {5}$

$Second \:term = \blue {5} \times 1 + 1^{2} = 5+1 = \orange {6}$

$Third \:term = \orange {6}\times 2 + 2^{2} = 12+ 4 = \pink{ 16}$

$Fourth \:term = \pink {16}\times 3 + 3^{2} = 48+ 9 = \green{ 57}$

$Fifth \:term = \green {57}\times 4 + 4^{2} = 228+ 16 = \red{ 244}$

$Sixth \:term = \red{244}\times 5+ 5^{2} = 1220+ 25 = 1245$

Therefore.,

$\red { Missing \:number } \green {= 244}$

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