Write the explicit formula and define the formula explain and

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

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step-by-step explanation:

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answer4 to the second power is 16

and 4 to the third power is 64,