Given : 3^rd term from the end =45

To Find : 6^th term

For (y^1/2 + x^1/3)ⁿ,

a= y^1/2, b= x^1/3

We have,

As n=n, therefore there will be total (n+1) terms in the expansion.

3^rd term from the end = (n+1-3+1)^th i.e. (n-1)^th term from the starting

For (n-1)^th term, r = (n-1-1) = (n-2)

………..

Therefore 3^rd term from the end

Therefore coefficient 3^rd term from the end

• 90 = n (n-1)

• 10 (9) = n (n-1)

Comparing both sides, n=10

For 6^th term, r=5

Conclusion : 6^th term