raquelll017 raquelll017
  • 23-09-2020
  • Mathematics
contestada

An arithmetic sequence has a common difference of 4 and the 3rd term is 10. What is the 6th term?

Respuesta :

Muscardinus Muscardinus
  • 29-09-2020

Answer:

22

Step-by-step explanation:

Given that,

Common difference, d = 4

3rd term, [tex]a_3=10[/tex]

nth term of an AP is given by : [tex]a_n=a+(n-1)d[/tex], a is first term

For 3rd term,

[tex]10=a+(3-1)4\\\\10=a+8\\\\a=2[/tex]

Now 6th term is given by :

[tex]a_6=2+(6-1)4\\\\a_6=22[/tex]

Hence, the 6th term is 22.

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