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CaHeK987 [17]
4 years ago
7

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

Mathematics
2 answers:
Lerok [7]4 years ago
6 0

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

BARSIC [14]4 years ago
3 0

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

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