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An arithmetic sequence is defined by the equations a1 = 10 and an = an-1 + 6. What is the third term of
An = an-1 + 6?

Respuesta :

Answer:

22

Step-by-step explanation:

You are given term is equal to previous term plus 6.

a1=10

a2=10+6=16

a3=16+6=22

yasminelena

Answer:

The correct answer is 22

Step-by-step explanation:

We have that [tex]a_{1}[/tex]  is 10

and the general formule is an= [tex]a_{n-1}[/tex] +6

taking n=3 and replacing it on the general equation, we have:

[tex]a_{3}[/tex] = [tex]a_{2}[/tex] +6 (1)

We don't know the term [tex]a_{2}[/tex], we can look for it occupying the general equation again:

[tex]a_{2}[/tex] = [tex]a_{1}[/tex] +6 (2)

Replacing [tex]a_{1}[/tex]   on (2):

[tex]a_{2}[/tex] = 10 +6 = 16 (3)

And finally replacing (3) on (1) we get te correct answer;

[tex]a_{3}[/tex] = 16+6 = 22

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