Question

# $5,4,15,7,23,11,29,_,33$ Find the missing term.

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Solution

## We have the given series-Identifying first part of the seriesThis series can be divided into two series :$5,15,23,29,33$ and$4,7,11,_$Adding even numbers in decreasing order from $10$ we get first series.$5+10=15\phantom{\rule{0ex}{0ex}}15+8=23\phantom{\rule{0ex}{0ex}}23+6=29\phantom{\rule{0ex}{0ex}}29+4=33$Adding consecutive numbers we get second series starting from $3$$4+3=7\phantom{\rule{0ex}{0ex}}7+4=11$So, the next term would be $11+5=16$Hence, the series would be $5,4,15,7,23,11,29,16,33$Hence the missing number is $16$

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