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October 3rd, 2012, 03:36 AM  #1 
Newbie Joined: Oct 2012 Posts: 9 Thanks: 0  Sequence and Series.
Summation of series using natural number series... How many terms of the series 1^3 + 2^3 + 3^3 + 4^3 + ... must be taken for the sum to exceed 18 000? Please help. 
October 3rd, 2012, 04:00 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Sequence and Series. Hence, we find: . 
October 3rd, 2012, 04:29 AM  #3 
Newbie Joined: Oct 2012 Posts: 9 Thanks: 0  Re: Sequence and Series.
Thanks Mark for answering! But I am confused about how you got your n from the part where n^2 + n > 268 how did you get your n from there? Did you factorise it? if yes, please show me the steps. Thanks. 
October 3rd, 2012, 09:21 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Sequence and Series.
No, a bit of mental calculation: 
October 4th, 2012, 01:35 AM  #5 
Newbie Joined: Oct 2012 Posts: 9 Thanks: 0  Re: Sequence and Series.
Thanks Mark! =)


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