Find the wrong number in the series: 2, 5, 18 | vedclass

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Question

(B) Let us analyze the series by splitting it into two alternating sub-series:Sub-series $1$ (odd positions): $2, 18, 24, 34$Sub-series $2$ (even posi

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(B) Let us analyze the series by splitting it into two alternating sub-series:Sub-series $1$ (odd positions): $2, 18, 24, 34$Sub-series $2$ (even positions): $5, 19, 29$Looking at the differences in Sub-series $2$: $19 - 5 = 14$ and $29 - 19 = 10$. The pattern suggests a decreasing difference of $4$ $(14, 10, 6, ...)$.Looking at Sub-series $1$: The differences are $18 - 2 = 16$,$24 - 18 = 6$,and $34 - 24 = 10$. If we assume the pattern for Sub-series $1$ should be consistent with the differences found in Sub-series $2$ (i.e.,$14, 10, 6$),the first term $2$ is incorrect. If we replace $2$ with $16$,the series becomes $16, 5, 18, 19, 24, 29, 34$. The odd-position terms become $16, 18, 24, 34$ with differences $2, 6, 10$,which follows an arithmetic progression of differences. Thus,$2$ is the wrong number.

Find the wrong number in the series: $2, 5, 18, 19, 24, 29, 34$.

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