2492043903(A)(B)(C)(D)(E)Which of the followi | vedclass

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(D) The first series follows the pattern: $x_{n+1} = x_n 	imes 2 + (n-1)$,where $n$ is the term index starting from $1$.$2 	imes 2 = 4$$4 	imes 2 +

Vedclass · Accepted Answer

$59$

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(D) The first series follows the pattern: $x_{n+1} = x_n 	imes 2 + (n-1)$,where $n$ is the term index starting from $1$.$2 	imes 2 = 4$$4 	imes 2 + 1 = 9$$9 	imes 2 + 2 = 20$$20 	imes 2 + 3 = 43$$43 	imes 2 + 4 = 90$Applying the same pattern to the second series starting with $3$:$1st$ term $= 3$$2nd$ term $= 3 	imes 2 = 6$ $(A)$$3rd$ term $= 6 	imes 2 + 1 = 13$ $(B)$$4th$ term $= 13 	imes 2 + 2 = 28$ $(C)$$5th$ term $= 28 	imes 2 + 3 = 59$ $(D)$$6th$ term $= 59 	imes 2 + 4 = 122$ $(E)$Thus,the value at $(D)$ is $59$.

$2$ $4$ $9$ $20$ $43$ $90$
$3$ $(A)$ $(B)$ $(C)$ $(D)$ $(E)$

Which of the following numbers will come in place of $(D)?$

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$43$	$49$	$2197$	$130321$	$100000$	$1$
$25$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$2$$4$$9$$20$$43$$90$$3$$(A)$$(B)$$(C)$$(D)$$(E)$Which of the following numbers will come in place of $(D)?$