Find out the odd number from the given sequen | vedclass

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Question

(B) Let us analyze the differences between consecutive terms in the sequence: $13 - 8 = 5$ $21 - 13 = 8$ $32 - 21 = 11$ $47 - 32 = 15$ $63 - 47 = 16$

Vedclass · Accepted Answer

$47$

Vedclass · Answer

(B) Let us analyze the differences between consecutive terms in the sequence: $13 - 8 = 5$ $21 - 13 = 8$ $32 - 21 = 11$ $47 - 32 = 15$ $63 - 47 = 16$ $83 - 63 = 20$ Observing the pattern of differences: $5, 8, 11, 15, 16, 20$. The differences should follow an arithmetic progression with a common difference of $3$ (i.e.,$5, 8, 11, 14, 17, 20$). If we replace $47$ with $46$: $46 - 32 = 14$ $63 - 46 = 17$ Now the sequence of differences is $5, 8, 11, 14, 17, 20$,which is consistent. Therefore,the odd number in the sequence is $47$.

Find out the odd number from the given sequence: $8, 13, 21, 32, 47, 63, 83$.

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