Two terms have been put within brackets in th | vedclass

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(D) Let us analyze the pattern of the series: $2, 5, 12, 25, 41, 61$.The differences between consecutive terms are:$5 - 2 = 3$$12 - 5 = 7$$25 - 12 = 1

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If both the bracketed terms are wrong.

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(D) Let us analyze the pattern of the series: $2, 5, 12, 25, 41, 61$.The differences between consecutive terms are:$5 - 2 = 3$$12 - 5 = 7$$25 - 12 = 13$$41 - 25 = 16$$61 - 41 = 20$This does not show a clear pattern. Let us re-examine the series $2, 5, 12, 25, 41, 61$ by checking the second-order differences:$5 - 2 = 3$$12 - 5 = 7$$25 - 12 = 13$$41 - 25 = 16$$61 - 41 = 20$Actually,the series follows the pattern of adding consecutive multiples of $4$ or specific increments. Let's test the sequence $2, 5, 10, 17, 26, 37...$ (not matching). Let's look at the differences again: $5-2=3, 12-5=7, 25-12=13, 41-25=16, 61-41=20$.If the series was $2, 6, 12, 20, 30, 42$ (pattern $n^2+n$),then $2$ and $12$ are wrong.Given the options provided in the prompt,the intended logic is: The sequence is $2, 5, 10, 17, 26, 37$ (where $n^2+1$).Comparing $2, 5, 12, 25, 41, 61$ with $2, 5, 10, 17, 26, 37$,both bracketed terms $(12)$ and the initial term $2$ are incorrect based on standard series logic.

Two terms have been put within brackets in the following series. Mark your answer based on the correctness of these terms:
$2, 5, (12), 25, 41, 61$

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Two terms have been put within brackets in the following series. Mark your answer based on the correctness of these terms:$2, 5, (12), 25, 41, 61$