Respuesta :

MrRoyal

The explicit function that defines the sequence is 15/2 - 9n/2

How to determine the explicit rule?

The sequence is given as:

3, -3/2, -6, -21/2

The above sequence is an arithmetic sequence, with the following parameters

  • First term, a = 3
  • Common difference, d = -9/2 i.e. -3/2 - 3

The explicit formula is then calculated as:

T(n) = a + (n -1) * d

This gives

T(n) = 3 +(n -1) * -9/2

Expand

T(n) = 3 + 9/2 - 9n/2

Evaluate

T(n) = 15/2 - 9n/2

Hence, the explicit function that defines the sequence is 15/2 - 9n/2

Read more about sequence at:

https://brainly.com/question/6561461

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