Find the product of `(1-1/6)(1-1/7)(1-1/8)...(1-1/(n+4)(1-1/(n+5))` for `n>=4`.

When simplified the product (1-1/3)(1-1/4)(1-1/5)......(1-1/n) becomes :

When simplified the product (1 - (1)/(3)) (1 - (1)/(4)) (1- (1)/(5)) …. (1 - (1)/(n)) becomes :

(1-(1)/(3))(1-(1)/(4))(1-(1)/(5))(1-(1)/(6))dots(1-(1)/(n))

Find the value of ( 1 - 1/3 ) ( 1 - 1/4 ) ( 1 - 1/5 ) ---------- ( 1 - 1/n ) is ( a ) 2/n ( b ) 4/n ( c ) 3/n ( d ) 5/n

(1+3/1)(1+5/4)(1+7/9)...(1+((2n+1))/n^(2))=(n+1)^(2) forall n in N.

Using mathematical induction prove that (1+3/1)(1+5/4)(1+7/9)......(1+(2n+1)/n^2)=(n+1)^2 for all n in N

(1)/(4.5)+(1)/(5.6)+......+(1)/((n+3)(n+4))

n if (1)/(4l)+(1)/(5!)+(1)/(6!)=(n)/(7!)

Using mathematical induction prove that 1/(1.4)+1/(4.7)+1/(7.10)+.......+1/((3n-2)(3n+1))=n/(3n+1) for all n in N

Lt_(n to oo) ((1)/(1.5)+(1)/(5.9)+....+(1)/((4n-3)(4n+1)))=