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CBSE Class 12-science Answered

sum the following series to n terms 2+5+10+17+26+.................................
Asked by coolameet08 | 14 Feb, 2010, 12:41: PM
answered-by-expert Expert Answer

2 + 5 + 10 + 17 + 26 + ....  = (12+1) + (22 + 1) + (32+1) + (42+1) + (52+1) + ...

= 12+ 22 + 32 + 42 + 52 + .......(1 + 1 +1 + +1 + +  n times)

= [(n(n+1)(2n+1))/6] +  [n(n+1)/2]

= n(n+1)(n+2)/3

Regards,

Team,

TopperLearning.

Answered by | 14 Feb, 2010, 02:12: PM
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