Question

Third fifth and seventeenth terms of of the sequence f(n)=3+n-1/2=

Answer 1

`f(3) = (11)/(2)`

`f(5) = (15)/(2)`

`f(17) =(39)/(2)`

Explanation:

Given

`f(n) = 3 + n - (1)/(2)`

Solving (a): The 3rd term

This implies that n = 3

So:

`f(3) = 3 + 3 - (1)/(2)`

Take LCM

`f(3) = (6 + 6 -1)/(2)`

`f(3) = (11)/(2)`

Solving (b): The 5th term

This implies that n = 5.

So:

`f(5) = 3 + 5 - (1)/(2)`

Take LCM

`f(5) = (6 + 10 - 1)/(2)`

`f(5) = (15)/(2)`

Solving (c): The 17th term

This implies that n = 17

So:

`f(17) = 3 + 17 - (1)/(2)`

Take LCM

`f(17) =(6 + 34 - 1)/(2)`

`f(17) =(39)/(2)`