Fill in the blank space for the given series | vedclass

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(B) Analyze the difference between consecutive terms in the series:$115.5 - 95 = 20.5$$138 - 115.5 = 22.5$The differences are increasing by $2$ at eac

Vedclass · Accepted Answer

$162$

Vedclass · Answer

(B) Analyze the difference between consecutive terms in the series:$115.5 - 95 = 20.5$$138 - 115.5 = 22.5$The differences are increasing by $2$ at each step $(20.5, 22.5, 24.5, 26.5, \dots)$.Therefore,the next difference should be $22.5 + 2 = 24.5$.Adding this to the last known term: $138 + 24.5 = 162.5$.To verify,the next term should be $162.5 + 26.5 = 189$,which matches the series.Thus,the missing term is $162.5$.

Fill in the blank space for the given series with the correct alternative.
$95, 115.5, 138, (...), 189$ (in $.5$)

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Fill in the blank space for the given series with the correct alternative.$95, 115.5, 138, (...), 189$ (in $.5$)