Question

55,344,668,?,1429,1870

Answer 1

$Given \: sequence :\\55 , 344, 668 , \red{?},1429,1870$

/* Observe the pattern of the sequence , we conclude as follows */

$First \:term =\blue { 55}$

$Second \:term =\blue { 55} +\pink { 17^{2} }\\= 55 + 289 = \blue {344 }$

$Third\:term =\blue { 344} +\pink { 18^{2} }\\= 344 + 324\\= \blue{668}$

$\red{Fourth\:term} =\blue { 668} +\pink { 19^{2} }\\= 3688 + 361\\= \red{1029}$

$Fifth \:term = \red{1029} +\pink { 20}^{2}\\= 1029 + 400 \\= \blue {1429 }$

$Sixth \:term = \blue {1429} + \pink { 21}^{2}\\= 1429 + 441 = 1870$

Therefore.,

$\red{ Missing \: term } \green { = 1029}$

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