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Previous Year Question (PYQs)



What is the next term in the series 6, 20, 42, 72, 110, ... is
(a) 156
(b) 210
(c) 110
(d) 119





Solution

Given series: $6,\,20,\,42,\,72,\,110,\,\_\_$

First differences: $14,\,22,\,30,\,38$

Second differences: $8,\,8,\,8$ (constant)

Next first difference $= 38 + 8 = 46$

Next term $= 110 + 46 = 156$

Answer: $\boxed{156}$ ✅



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