Fill in the blank space for the given series | vedclass

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Question

(B) The given sequence is a combination of two alternating series:$I.$ Odd-numbered terms: $3, 7, 13, 21, 31, \ldots$The differences are: $(7-3)=4, (1

Vedclass · Accepted Answer

$43$

Vedclass · Answer

(B) The given sequence is a combination of two alternating series:$I.$ Odd-numbered terms: $3, 7, 13, 21, 31, \ldots$The differences are: $(7-3)=4, (13-7)=6, (21-13)=8, (31-21)=10$. The next difference should be $12$. Thus,the next term in this series is $31+12=43$.$II.$ Even-numbered terms: $4, 7, 13, 22, 44, \ldots$The differences are: $(7-4)=3, (13-7)=6, (22-13)=9, (44-22)=22$. (Note: This series follows a different progression).Since the missing term is the $11^{th}$ term (an odd-numbered position),it follows the pattern of series $I$. Therefore,the missing term is $31+12=43$.

Fill in the blank space for the given series with the correct alternative.
$3, 4, 7, 7, 13, 13, 21, 22, 31, 44, (\ldots)$

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Fill in the blank space for the given series with the correct alternative.$3, 4, 7, 7, 13, 13, 21, 22, 31, 44, (\ldots)$

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