Find the 11th term from the beginning and the 11th term from the end in the expansion of (2x – 1/x2)25.
Find the 11th term from the beginning and the 11th term from the end in the expansion of (2x – 1/x2)25.

Answer:

This expression contains 26 terms.

11th term from the end is the (26 − 11 + 1) th term from the beginning.

T16 = T15+1 = 25C15 (2x)25-15 (-1/x2)15

T16 = 25C15 (210) (x)10 (-1/x30)

T16 = – 25C15 (210 / x20)

11th term from the beginning.

T11 = T10+1 = 25C10 (2x)25-10 (-1/x2)10

T11 = 25C10 (215) (x)15 (1/x20)

T11 = 25C10 (215 / x5)