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Grade 11Algebra

Sum to n terms of the series
1.3.5.7 + 3.5.7.9+............

Profile image of Rohith premanand
10 Years agoGrade 11
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8 Answers

Profile image of noogler
10 Years ago
first find the nth term of the series
1,3,5,7,........are in first place …........nth term=1+(n-1)2=2n-1                    nth term=a+(n-1)d
3,5,7,9.........are in second place.........nth term=3+(n-1)2=2n+1
similarly 3rd and 4th places nth terms are 2n+3,2n+5 respectively
now the entire nth term is........(2n-1)(2n+1)(2n+3)(2n+5)
exp it and apply summation..................................................................................  
Profile image of raju
10 Years ago
∑(2n-1)(2n+1)(2n+3)(2n+5)
Profile image of charan
10 Years ago
 
 
∑(2n-1)(2n+1)(2n+3)(2n+5)
Profile image of OUTPASS
10 Years ago
∑(2n-1)(2n+1)(2n+3)(2n+5)
Profile image of HARINATH
10 Years ago
∑(2n-1)(2n+1)(2n+3)(2n+5)
Profile image of salvathshaik
10 Years ago
∑(2n-1)(2n+1)(2n+3)(2n+5
Profile image of saibhargav
10 Years ago
∑(2n-1)(2n+1)(2n+3)(2n+5)
Profile image of Raunak JhunJhunWala
8 Years ago
Well it can be done in more easier process by Vn method. nth term=2n-1*2n+1*2n+3*2n+5. Then apply summation properties to get answer....