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What comes next in the sequence: 3, 9, 5, 12, 7, 15, 9, 18, ?, ?

+1 vote
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What comes next in the sequence: 3, 9, 5, 12, 7, 15, 9, 18, ?, ?
posted Sep 7, 2016 by Samardeep Acharya

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1 Answer

+1 vote

Thanks for the query.

By examining the sequence, we can see that -
First 6 is added to 3 to make it 9 and then 4 is subtracted to make it 5.
Then, 7 is added to 5 to make it 12 and 5 is again subtracted to make it 7.
Then, 8 is being added to 7 to make it 15 and 6 is being subtracted to make it 9.
From the above, we can say that if a is being added to n then a - 2 is being subtracted from a + n.
So, if the number is 9 and 18 is the next number then 9 is being added to 9.
So, the next number will be 18 - 7 = 11.

answer Sep 7, 2016 by Arghyadeep Dutt Shrivastava
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