2 Answers
Lokesh Verma
·2010-01-02 20:04:33
1.3.5.7+3.5.7.9+5.7.9.11+....+99.101.103.105
write each term as
1/10x[1.3.5.7.9 - (-1).1.3.5.7]
1/10x[3.5.7.9.11 - 1.3.5.7.9]
...
...
...
1/10x[99.101.103.105.107-97.99.101.103.105]
adding all of these, we get
1/10[99.101.103.105.107+1.3.5.7] which is option b
[1]
b_k_dubey
·2010-01-02 23:47:11
Tr = ((2r)2-1)((2r+4)2-1)
= (2r-1)(2r+1)(2r+3)(2r+5)
= (2r-1)(2r+1)(2r+3)(2r+5) ((2r+7)-(2r-3))10
= 110 ((2r-1)(2r+1)(2r+3)(2r+5)(2r+7) - (2r-3)(2r-1)(2r+1)(2r+3)(2r+5))