[S-(1)/(1)=3],[(5)/(2)+(1)/(7)=]

(3)/(4)(1+(1)/(3))(1+(2)/(3))(1-(2)/(5))(1+(6)/(7))(1-(12)/(13))=?(1)/(5)( b )(1)/(6)(c)(1)/(7) (d) None of these

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

(1)/(2)((1)/(5)+(1)/(7))-(1)/(4)((1)/(5^(2))+(1)/(7^(2)))+(1)/(6)((1)/(5^(3))+(1)/(7^(3)))-….oo=

1+(3)/(1!)+(5)/(2!)+(7)/(3!)+....=

Show that A= [(5,3),(-1,-2)] satisfies the equation x^2-3x-7=0 . Thus, find A^(-1) . a) [((2)/(7),(3)/(7)),((-1)/(7),(-5)/(7))] b) [(2,3),(-1,-5)] c) [((1)/(7),(1)/(7)),((-1)/(7),(-5)/(7))] d) [(3,-1),(1,2)]

The sum of the infinite series is (1)/(1.3)+(1)/(3.5)+(1)/(5.7)+...oo(A)(1)/(7)(B)(1)/(3)(C)(1)/(5) (D) (1)/(2)

For the series, S=1 +(1)/(1+3)(1+2)^2+(1)/((1+3+7))(1+2+3)^2+(1)/((1+3+5+7))(1+2+3+4)^2+...

For the series S=1+(1)/((1+3))(1+2)^(2)+(1)/((1+3+5))(1+2+3)^(2)+(1)/((1+3+5+7))(1+2+3+4)^(2)+…………….., if the 7^("th") term is K, then (K)/(4) is equal to

For the series S=1+(1)/((1+3))(1+2)^(2)+(1)/((1+3+5))(1+2+3)^(2)+(1)/((1+3+5+7))(1+2_3+4)^(2)+…………….., if the 7^("th") term is K, then (K)/(4) is equal to