The question asks to find the missing number in the sequence: $98, 90, 82, 74, ?, 58$. We need to identify the pattern governing this sequence.
Let's examine the difference between consecutive terms:
The pattern observed is that each term is obtained by subtracting 8 from the previous term. This indicates an arithmetic progression with a common difference of -8.
To find the missing term, we apply the identified pattern to the term before the question mark, which is 74.
Missing Term = Previous Term - Common Difference
Missing Term = $74 - 8$
Missing Term = $66$
To confirm, let's check if subtracting 8 from our calculated missing term (66) yields the next term in the sequence (58).
$66 - 8 = 58$
This matches the given sequence, confirming our calculation.
The number that should come at the place of the question mark is 66.
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 52, 74, 104, 143, ?
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10, 14, 31, 35, 73, 77, ?
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215, 231, 256, 292, ?
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6, 6, 8, 24, 28, 140, ?