33, 39, 57, 87, 129, (?) | vedclass

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Question

(A) The given series is $33, 39, 57, 87, 129, (?)$.Let's find the difference between consecutive terms:$39 - 33 = 6$$57 - 39 = 18$$87 - 57 = 30$$129 -

Vedclass · Accepted Answer

$183$

Vedclass · Answer

(A) The given series is $33, 39, 57, 87, 129, (?)$.Let's find the difference between consecutive terms:$39 - 33 = 6$$57 - 39 = 18$$87 - 57 = 30$$129 - 87 = 42$Now,observe the pattern in the differences: $6, 18, 30, 42$. These are increasing by $12$ each time (or $6 	imes 1, 6 	imes 3, 6 	imes 5, 6 	imes 7$).The next difference should be $42 + 12 = 54$ (which is $6 	imes 9$).Therefore,the next term is $129 + 54 = 183$.

$33, 39, 57, 87, 129, (?)$

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