alexisbutler234
alexisbutler234 alexisbutler234
  • 24-11-2019
  • Mathematics
contestada

what is the answer to this problem?​

what is the answer to this problem class=

Respuesta :

gmany
gmany gmany
  • 24-11-2019

Answer:

48

Step-by-step explanation:

It's an arithmetic sequence with common difference d = 7.

[tex]a_1=-8\\\\a_2=-8+7=-1\\\\a_3=-1+7=6\\\\a_4=6+7=13[/tex]

Find 9th term.

METHOD 1.

Calculate next terms:

[tex]a_5=13+7=20\\\\a_6=20+7=27\\\\a_7=27+7=34\\\\a_8=34+7=41\\\\a_9=41+7=48[/tex]

METHOD 2.

The explicit formula of an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

Substitue:

[tex]a_n=-8+(n-1)(7)[/tex]          use the distributive property

[tex]a_n=-8+7n-7\\\\a_n=7n-15[/tex]

Put n = 9:

[tex]a_9=7(9)-15=63-15=48[/tex]

Answer Link

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