Respuesta :

Formula to fimd the 9th term:-

[tex] \tt a_{n} = a_{1} + (n - 1)d[/tex]

Where,

  • [tex] a_{n}[/tex] is the Nth term
  • [tex] a_{1}[/tex] is the first term of sequence
  • [tex]n[/tex] is the term to be found
  • [tex]d[/tex] is the common difference between terms

In our case,

  • [tex] a_{1} = - 2[/tex]
  • [tex]n = 9[/tex]
  • [tex]d = 3[/tex]

Put the values,

[tex] \tt a_{9} = - 2 + (9 - 1) \times 3[/tex]

[tex] \tt a_{9} = - 2 + 8 \times 3[/tex]

[tex] \tt a_{9} = - 2 + 24[/tex]

[tex] \tt a_{9} = 22[/tex]

kamilmatematik100504

[tex]\dispalystyle a_1=-2 ~\\\\~ d=a_2-a_1=1-(-2)=3 \\\\ a_{9}=a_1+(9-1)d=-2+8d=-2+24=\boxed{22} \\\\\\ \huge\boxed{\mathfrak{Answer}:a_{9}=22}[/tex]