Find out the odd number from the given sequen | vedclass

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Question

(B) The given sequence is $6, 7, 9, 13, 26, 37, 69$.Let's analyze the differences between consecutive terms:$7 - 6 = 1$$9 - 7 = 2$$13 - 9 = 4$$21 - 13

Vedclass · Accepted Answer

$26$

Vedclass · Answer

(B) The given sequence is $6, 7, 9, 13, 26, 37, 69$.Let's analyze the differences between consecutive terms:$7 - 6 = 1$$9 - 7 = 2$$13 - 9 = 4$$21 - 13 = 8$$37 - 21 = 16$$69 - 37 = 32$The pattern of differences is $1, 2, 4, 8, 16, 32$,which corresponds to powers of $2$ $(2^0, 2^1, 2^2, 2^3, 2^4, 2^5)$.In the original sequence,$26$ is present instead of $21$. Therefore,$26$ is the odd number in the sequence.

Find out the odd number from the given sequence: $6, 7, 9, 13, 26, 37, 69$.

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