`1+1/(3.2^2)+1/(5.2^4)+1/(7.2^6)+..........=`

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

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

Prove that, 1/(2.3)-1/(4.5)+1/(6.7)+.....=1-log_e2

(1)/(2.4)+(1.3)/(2.4.6)+(1.3.5.7)/(2.4.6.8*10)+.........oo is equal to

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

The sum of the series 1 + (1)/(3^(2)) + (1 *4)/(1*2) (1)/(3^(4))+( 1 * 4 * 7)/(1 *2*3)(1)/(3^(6)) + ..., is (a) ((3)/(2))^((1)/(3)) (b) ((5)/(4))^((1)/(3)) (c) ((3)/(2))^((1)/(6)) (d) None of these

(1)/(2.4)+(1.3)/(2.4.6)+(1.3.5)/(2.4.6.8)+(1.3.5.7)/(2.4.6.8*10)+....oo is equal to

Find the mode in each of the following data collection. 8,6,7,6,5,4, (1)/(2), 7 (1)/(2), 6 (1)/(2), 8 (1)/(2), 10,7,5,5(1)/(2), 8,9 7,5,6,8 (1)/(2),6