Question

the simplest value of 9⅓×(26)^1/9 ×(4)¼×2½​

Answer 1

Answer:

666666628828282882882

Answer 2

Let us consider 1/2 as the first term. (n=1, say), i.e, 1/2=n/(n+1). Similarly for 2nd term , i.e (n=2) 2/3 =n/(n+1) holds good.

our assumption for the given series holds good.

we need to find the term next to 4/5, i.e 5th term(n=5). The term is n/(n+1)=5/(5+1)=5/6.

Another simple method of finding is by simply observing the series of fractional numbers.

We find that the number in the denominator of the previous term comes in the numerator of the next term and its denominator is the next consecutive number. Proceeding with this logic, the number next to 4/5 is 5/(5+1)=5/6