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: $142 - 119 = 23$ $119 - 100 = 19$ $100 - 83 = 17$ $83 - 65 = 18$ $65 - 4

Vedclass · Accepted Answer

$65$

Vedclass · Answer

(A) Let us analyze the differences between consecutive terms in the sequence: $142 - 119 = 23$ $119 - 100 = 19$ $100 - 83 = 17$ $83 - 65 = 18$ $65 - 49 = 16$ $49 - 42 = 7$ The pattern of differences is $23, 19, 17, 18, 16, 7$. If we look at the sequence of prime numbers in descending order starting from $23$,the differences should be $23, 19, 17, 13, 11, 7$. Calculating the terms based on this pattern: $142 - 23 = 119$ $119 - 19 = 100$ $100 - 17 = 83$ $83 - 13 = 70$ (Instead of $65$) $70 - 11 = 59$ (Instead of $49$) $59 - 7 = 52$ (Instead of $42$) However,checking the options provided,$65$ is the term that deviates from the expected prime subtraction pattern $(83 - 13 = 70)$. Thus,$65$ is the odd number in the sequence.

Find out the odd number from the given sequence: $142, 119, 100, 83, 65, 49, 42$.

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