Question

Which is the next term 37,43,53,61,71,79,89.Give the method?

Answer 1

$Given \: series \: 37, 43 , 53, 61, 71, 79,89$

/* Observe the series , we can find following pattern */

$Prime \: numbers \: from \: 37 \: to \: 101 \:are$

$\blue{37}, \red{\cancel {41}}, \blue{43}, \red{\cancel {47}},\blue {53}, \red{\cancel {59}},\blue{61}, \red{\cancel {67}},\blue {71},\\ \red{\cancel {73}},\blue {79},\red{ \cancel {83}},\blue {89}, \red{\cancel {97}},\green {101}$

/* We are taking alternate prime number */

$Next \:term = 101$

Therefore.,

$\red{ Required \:next \: number } \green {= 101 }$

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