Find out the odd number from the given sequen | vedclass

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Question

(A) Let us analyze the differences between consecutive terms in the sequence:$850 - 600 = 250$$600 - 550 = 50$$550 - 500 = 50$$500 - 475 = 25$$475 - 4

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(A) Let us analyze the differences between consecutive terms in the sequence:$850 - 600 = 250$$600 - 550 = 50$$550 - 500 = 50$$500 - 475 = 25$$475 - 462.5 = 12.5$$462.5 - 456.25 = 6.25$Observing the pattern,the differences are $250, 50, 50, 25, 12.5, 6.25$. If the first term was $800$ instead of $850$,the differences would be $200, 100, 50, 25, 12.5, 6.25$,which follows a geometric progression where each difference is half of the previous one.Since $850$ is the first term and does not fit the pattern of halving differences,$600$ is the odd number in the sequence because it is the result of the incorrect first step.

Find out the odd number from the given sequence: $850, 600, 550, 500, 475, 462.5, 456.25$.

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