felinecatus
felinecatus felinecatus
  • 03-09-2019
  • Mathematics
contestada

The explicit formula for a sequence is

an= −2 + 3/2 (n − 1)

What is the 21st term of the sequence?

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 03-09-2019

Answer:

28

Step-by-step explanation:

Let n = 21, and evaluate the expression.

[tex] a_n = -2 + \dfrac{3}{2}(n - 1) [/tex]

[tex] a_{21} = -2 + \dfrac{3}{2}(21 - 1) [/tex]

[tex] a_{21} = -2 + \dfrac{3}{2}(20) [/tex]

[tex] a_{21} = -2 + \dfrac{3}{1}(10) [/tex]

[tex] a_{21} = -2 + 30 [/tex]

[tex] a_{21} = 28 [/tex]

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