Hello!!!

Hope you are doing great!!!

Given series = 1+3/2+5/4+7/8.........

=1+3/2+5/4+7/8+9/16+11/32+..........

multiply and divide by 2

=2(1+1/2+1/4+1/8+1/16+1/32+............)

=2+2(1)+2(1/2)+2(1/4)+2(1/8)+2(1/16)+..................

2+2(1+1/2+1/4+1/8+1/16+..............)

here (1+1/2+1/4+1/8+1/16+..............) is in GP

The value of (1+1/2+1/4+1/8+1/16+..............)=2

substitute in the above equation

=2+2(2)

=2+4

=6

Hope it helps you!!

Thank you!!!