Fill in the blank space for the given series | vedclass

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Question

(A) The given series is $1, 9, 17, 33, 49, 73, ...$Let's analyze the differences between consecutive terms:$9 - 1 = 8$$17 - 9 = 8$$33 - 17 = 16$$49 -

Vedclass · Accepted Answer

$97$

Vedclass · Answer

(A) The given series is $1, 9, 17, 33, 49, 73, ...$Let's analyze the differences between consecutive terms:$9 - 1 = 8$$17 - 9 = 8$$33 - 17 = 16$$49 - 33 = 16$$73 - 49 = 24$The pattern of differences is $8, 8, 16, 16, 24, ...$This indicates that each difference is repeated twice,and the difference increases by $8$ after every two steps.Following this pattern,the next difference should be $24$.Therefore,the missing number $= 73 + 24 = 97$.

Fill in the blank space for the given series with the correct alternative.
$1, 9, 17, 33, 49, 73, (...)$

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Fill in the blank space for the given series with the correct alternative.$1, 9, 17, 33, 49, 73, (...)$