Question

0, 6, 24, 60,?, 210 what will be the missing number?

Answer 1

$Given \: series : \\0,6,24,60, \red{?} , 210$

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

$First \:term = 1^{3} - 1 = 1 - 1 = 0$

$Second \:term = 2^{3} - 2 = 8 - 2 = 6$

$Third \:term = 3^{3} - 3 = 27 - 3 = 24$

$Fourth \:term = 4^{3} - 4 =64 - 4= 60$

$\blue {Fifth \:term }= 5^{3} - 5 =125 - 5 = 120$

$Sixth \:term = 6^{3} - 6 = 216 - 6 = 210$

Therefore.,

$\red { Required \: missing \:term } \green {= 120}$

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