Question

Write the explicit formula and define the formula please explain and help thanks

Answer 1

Remark

The formula for this series is

t_n = n^2 - 1

Explanation

If the series ends at 288, then the highest value n can have is 17

So you would write t_n = n^2 - 1 {n| 1 ≤ n ≤17}

If you said this to someone, you would say "t_n = n squared minus 1 where n is such that 1 is greater than or equal to 1 or less than or equal  to 17"

Example

What is the 4th term in this series?

t_4 = 4^2 - 1

t_4 = 16 - 1

t_4 = 15