1, 6, 27, 108, dots | vedclass

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Question

(A) The given series is $1, 6, 27, 108, \dots$Let us analyze the pattern:$1 	imes 6 = 6$$6 	imes 4.5 = 27$$27 	imes 4 = 108$This pattern is not imm

Vedclass · Accepted Answer

$405$

Vedclass · Answer

(A) The given series is $1, 6, 27, 108, \dots$Let us analyze the pattern:$1 	imes 6 = 6$$6 	imes 4.5 = 27$$27 	imes 4 = 108$This pattern is not immediately obvious. Let us try another approach:$1 	imes 3^0 = 1$$2 	imes 3^1 = 6$$3 	imes 3^2 = 27$$4 	imes 3^3 = 108$Following this pattern,the next term should be $5 	imes 3^4$.$5 	imes 81 = 405$.Therefore,the next term is $405$.

$1, 6, 27, 108, \dots$

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