Question

Find the indicated term in the following sequence whose n^th term is:

`a_n = (n(n-2))/(n+3)` ;`a_20`

Answer 1

a_n = `("n"("n" - 2))/("n" + 3)`

Put n = 20,

a20 = `(20(20 - 2))/(20 + 3)`

a₂₀ = `(20 xx 18)/23`

= `360/23`