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how can i find the 250 th term of this sequence: 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5......?

how can i find the 250th term of this sequence: 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5......?

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
There is a trick,
Put n(n+1)/2 = 250
n² + n -500 = 0
n = 21.86 
 
Hence 22.
 
250th term will be 22.
 
Regards
Arun (askIITians forum expert)

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