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Re: given a series 1,2,2,3,3,3,4,4,4,4... if this cintinues then [#permalink]
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Hello Anik,
I made a silly mistake. Instead of 100 i took 1000. Apply the same logic you will see the answer becomes 14.
Soumya
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Re: given a series 1,2,2,3,3,3,4,4,4,4... if this cintinues then [#permalink]
soumya1989 wrote:
Hello Anik,
I made a silly mistake. Instead of 100 i took 1000. Apply the same logic you will see the answer becomes 14.
Soumya


i got the ans but could you please explain a little bit about this formula? its basically the formula of sum of first n terms . how this formula works here??
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Re: given a series 1,2,2,3,3,3,4,4,4,4... if this cintinues then [#permalink]
1
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15...
1,2,2,3,3,3,4,4,4,4,5,5,5,5,5...

n=3>> n(n+1)/2=6
n=4>> n(n+1)/2=10
n=5>> n(n+1)/2=15

in this series, in fact n(n+1)/2 is the greatest value for n(th) term.

for example: for 9th term >> n(n+1)/2 >= 9 >> for n=3 we can not reach to 9th term, we need to consider 4 for n.

so for 100th >> n(n+1)/2>=100 >> 14*15=210 so n=14.
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