Find the value of (1/(2*3))+(1/(3*4))+(1/(4*5))+(1/(5*6))+…..+ ((1/(9*10)).
Choose the correct choice:
A) 2 B) 2/5 C) 3 D) 3/5 E) 4/5
Given expression=((1/2)-(1/3))+((1/3)-(1/4))+((1/4)-(1/5))+((1/5)-(1/6))+….+ ((1/9)-(1/10))   =((1/2)-(1/10))=4/10 = 2/5.   ANSWER 2/5 2/5
<result>B</result>
Find the value of (1/(2*3))+(1/(3*4))+(1/(4*5))+(1/(5*6))+…..+ ((1/(9*10)).