Question

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

Answer 1

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

Answer 2

Answer:

The correct answer is 22

Step-by-step explanation:

We have that $a_{1}$  is 10

and the general formule is an= $a_{n-1}$ +6

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

$a_{3}$ = $a_{2}$ +6 (1)

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

$a_{2}$ = $a_{1}$ +6 (2)

Replacing $a_{1}$   on (2):

$a_{2}$ = 10 +6 = 16 (3)

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

$a_{3}$ = 16+6 = 22