Question

Find the fifth term ofO5a5 =24a5 =24595 = 25OOan=72n! .

Answer 1

Given:

`a_n=(n^2)/(n!)`

Then, the fifth term is n = 5, so:

`a_5=(5^2)/(5!)`

Solving:

`a_5=(5*5)/(5*4*3*2*1)=(25)/(120)`

Simplify:

`a_5=(5)/(24)`

Answer:

`a_(5)=(5)/(24)`