7, 11, 23, 51, 103, (?) | vedclass

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Question

(D) The given series is $7, 11, 23, 51, 103, (?)$.Let's analyze the differences between consecutive terms:$11 - 7 = 4 = 4 	imes 1$$23 - 11 = 12 = 4 \

Vedclass · Accepted Answer

$187$

Vedclass · Answer

(D) The given series is $7, 11, 23, 51, 103, (?)$.Let's analyze the differences between consecutive terms:$11 - 7 = 4 = 4 	imes 1$$23 - 11 = 12 = 4 	imes 3$$51 - 23 = 28 = 4 	imes 7$$103 - 51 = 52 = 4 	imes 13$The differences are $4, 12, 28, 52, \dots$Looking at the multipliers of $4$: $1, 3, 7, 13, \dots$The differences between these multipliers are $2, 4, 6, 8, \dots$Following this pattern,the next difference in the multipliers should be $13 + 8 = 21$.Therefore,the next difference in the series should be $4 	imes 21 = 84$.Adding this to the last term: $103 + 84 = 187$.Thus,the missing number is $187$.

$7, 11, 23, 51, 103, (?)$

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