34, 36, 40, 48, 64, ? | vedclass

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Question

(C) The given series is $34, 36, 40, 48, 64, ?$.Observe the differences between consecutive terms:$36 - 34 = 2 = 2^1$$40 - 36 = 4 = 2^2$$48 - 40 = 8 =

Vedclass · Accepted Answer

$96$

Vedclass · Answer

(C) The given series is $34, 36, 40, 48, 64, ?$.Observe the differences between consecutive terms:$36 - 34 = 2 = 2^1$$40 - 36 = 4 = 2^2$$48 - 40 = 8 = 2^3$$64 - 48 = 16 = 2^4$The pattern of differences is $2^1, 2^2, 2^3, 2^4, \dots$Following this pattern,the next difference should be $2^5 = 32$.Therefore,the next term is $64 + 32 = 96$.

$34, 36, 40, 48, 64, ?$

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