Question

ma puteți ajuta??!!!​

Answer 1

a) 1/2•2/3•3/4•4/5•5/6•6/7•7/8=

=1/3•3/4•4/5•5/6•6/7•7/8=

=1/4•4/5•5/6•6/7•7/8=

=1/5•5/6•6/7•7/8=

=1/6•6/7•7/8=

=1/7•7/8=

=1/8

b) (1(amplificam cu 2)+1/2)(1(amplificam cu 3)-1/3)(1(amplificam cu 4)+1/4)(1(amplificam cu 5)-1/5)=

=(2/2+1/2) (3/3-1/3)(4/4+1/4) (5/5-1/5) =

=3/2•2/3•5/4•4/5=

=1•1=

= 2

c) (1(amplificam cu 2) -1/2) (1(amplificam cu 3) -1/3) (1(amplificam cu 4) -1/4) • .... • (1(amplificam cu 25) -1/25) =

= (2/2-1/2) (3/3-1/3) (4/4-1/4).... (25/25-1/25) =

= 1/2•2/3•3/4•...•24/25 =

= 1•1•1...1/25 =

= 1/25

d) (1(amplificam cu 2) +1/2) (1(amplificam cu 3) +1/3) (1(amplificam cu 4) +1/4).... (1(amplificam cu 49) +1/49) =

= (2/2+1/2) (3/3+1/3) (4/4+1/4)... (49/49+1/49) =

= 3/2•4/3•5/4...50/49 =

= 2•1/49=

= 2/49