Find the missing number in the series: 4, 10, | vedclass

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Question

(A) The pattern in the series is as follows:$4 	imes 2 + 2 = 10$$10 	imes 3 + 10 = 40$$40 	imes 4 + 30 = 190$$190 	imes 5 + 190 = 940$Alternativel

Vedclass · Accepted Answer

$4690$

Vedclass · Answer

(A) The pattern in the series is as follows:$4 	imes 2 + 2 = 10$$10 	imes 3 + 10 = 40$$40 	imes 4 + 30 = 190$$190 	imes 5 + 190 = 940$Alternatively,observing the differences:$10 - 4 = 6$$40 - 10 = 30$$190 - 40 = 150$$940 - 190 = 750$The differences are $6, 30, 150, 750, \dots$ which follow the pattern $	imes 5$.Next difference $= 750 	imes 5 = 3750$.Missing number $= 940 + 3750 = 4690$.Checking the next term: $4690 + (3750 	imes 5) = 4690 + 18750 = 23440$. This matches the series.

Find the missing number in the series: $4, 10, 40, 190, 940, ?, 23440$

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