Question

# $865:532::976:$Find the next number in the sequence

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Solution

## Step 1: Find out certain logic in the given sequenceGiven sequence $865:532::976:$ has a certain logic. Let us find outThe first Term is = $865$The Second Term is = $532$The third Term is = $976$We get to know that the second term $532$ is formed when $3$is subtracted from each digit of the first number $865$Like $8-3=5,$ $6-3=3,5-2=3$ Now the third term is formed by adding $4$ to every digit of the second term that is $532$.$5+4=9;3+4=7;2+4=6$So the number formed is $976$Step-3: Find the fourth term in the sequenceAs the sequence continues we must again subtract $3$from every digit of the third term.Therefore, the fourth term is$9-3=6,7-3=4,6-4=2$Hence, the next term is $742$

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