A number theory problem by Anushka Vatsa

Number Theory Level 1

8,7,16,5,32,3,64,1,128,?

-1 2 3 0

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Anushka Vatsa by Anushka Vatsa , 21, India

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3 solutions

Kalash Pai
Oct 21, 2014

Form two series each having alternate terms. Thus second series formed is 7,5,3,1. We need to find next term of this series which is clearly -1.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Rostam Dana
Oct 28, 2014

every 2nd numbre goes -2 down so...7-5-3-1-(-1)-(3)... and so on

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Max Throm
Oct 26, 2014

Every other number is a part of a pattern. The 0th, 2nd, 4th (8, 16,32...) and so on follow the rule 8 (2^n). The 1st, 3rd, 5th (7, 5, 3...) and so on follow the rule 7 - 2 n.

Note the two variables n I used are not the location in the sequence but the location in each individual pattern *Also, I started n at a value 0 and not 1. For example: 8 (2^0) = 8 8 (2^1) = 16 and 7 - 2 0 = 7 7 - 2*1 = 5

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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