Find out the odd number from the given sequen | vedclass

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Question

(C) Let us analyze the differences between consecutive terms in the sequence:$18 - 7 = 11 = 1 	imes 11$$40 - 18 = 22 = 2 	imes 11$$106 - 40 = 66 = 6

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) Let us analyze the differences between consecutive terms in the sequence:$18 - 7 = 11 = 1 	imes 11$$40 - 18 = 22 = 2 	imes 11$$106 - 40 = 66 = 6 	imes 11$$183 - 106 = 77 = 7 	imes 11$$282 - 183 = 99 = 9 	imes 11$$403 - 282 = 121 = 11 	imes 11$The pattern of the differences is $1 	imes 11, 2 	imes 11, 3 	imes 11, 4 	imes 11, 5 	imes 11, 6 	imes 11, 7 	imes 11, 8 	imes 11, 9 	imes 11, 10 	imes 11, 11 	imes 11$.If we follow the pattern $18 + (2 	imes 11) = 40$ is incorrect because the next term should be $18 + (2 	imes 11) = 40$ and $40 + (3 	imes 11) = 73$.Actually,the sequence follows the addition of consecutive multiples of $11$: $11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121$.$7 + 11 = 18$$18 + 22 = 40$$40 + 33 = 73$ (not $106$)$73 + 44 = 117$ (not $183$)Wait,let's re-examine: $7, 18, 40, 106, 183, 282, 403$.The differences are $11, 22, 66, 77, 99, 121$.This implies $40$ is the odd one out because the sequence should be $7, 18, 40, 73, 117, 172, 238, 315, 403$ is not matching.Correcting the sequence: $7, 18, 40, 73, 117, 172, 238$. The given sequence has $40$ as the incorrect term relative to the progression of differences.

Find out the odd number from the given sequence: $7, 18, 40, 106, 183, 282, 403$.

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