2fab4you220 2fab4you220
  • 30-03-2021
  • Mathematics
contestada

What is the common difference and ninth term for the following sequence:
3,5/2,2,3/2,1

Respuesta :

imdashraful17 imdashraful17
  • 30-03-2021

Answer:

Common Difference: [tex]-\frac{1}{2}[/tex]

The ninth term: -1

Step-by-step explanation:

The sequence can be written like this,

3, 2.5, 2, 1.5, 1, ....

Here the common difference is clearly -0.5 or [tex]-\frac{1}{2}[/tex], and we can conclude that [tex]n^{th}[/tex] number is [tex]3 - 0.5(n-1)[/tex]. So the 9th term is,

[tex]3 - 0.5(9 - 1)\\= -1[/tex]

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