Question

Find the 4^th term from the end in the expansion of (4x/5 – 5/2x) ⁸.

Answer 1

Given as

(4x/5 – 5/2x)⁸

Let T_r+1 be the 4^th term from the end of the given expression.
Now, T_r+1 is (10 − 4 + 1)^th term, i.e., 7^th term, from the beginning.
T₇ = T₆₊₁

∴ The 4^th term from the end is 10500/x³.