3, 12, 27, 48, 75, 108, ? | vedclass

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Question

(A) The given series is $3, 12, 27, 48, 75, 108, ?$.Let's find the difference between consecutive terms:$12 - 3 = 9$$27 - 12 = 15$$48 - 27 = 21$$75 -

Vedclass · Accepted Answer

$147$

Vedclass · Answer

(A) The given series is $3, 12, 27, 48, 75, 108, ?$.Let's find the difference between consecutive terms:$12 - 3 = 9$$27 - 12 = 15$$48 - 27 = 21$$75 - 48 = 27$$108 - 75 = 33$The differences are $9, 15, 21, 27, 33$.Now,find the difference between these differences:$15 - 9 = 6$$21 - 15 = 6$$27 - 21 = 6$$33 - 27 = 6$Since the second difference is constant $(6)$,the next difference in the first series will be $33 + 6 = 39$.Therefore,the next term in the series is $108 + 39 = 147$.

$3, 12, 27, 48, 75, 108, ?$

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