Series man is back part 2
Algebra
Level
2
Find the sum of the next two numbers In the series... 1,1,5,2,21,3,85,4,....,...
The answer is 346.
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1 solution
When we look at alternating nature of the series its quite easy to identify the terms.... Therefore when we split the above series in alternate terms we get two series... 1).1,5,21,85,... Therefore for solving this we can use... In the above series 5 can be obtained by 2^2+1,similarly 21 by 4^2+5,85 by 8^2+21, also do notice that the terms differ by the squares of numbers (which are getting doubled) plus the previous number therefore we get the next term by 16^2+85 by same method,therefore the next term is 341 And the other splitted series is 1,2,3,4,... Therefore its easy to identify the next term as 5....,, Therefore the sum is 346 Please upvote the solution if liked.....