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What is the sequence for 6,12,18,24

1 Answer

3 votes

Answer:

an =6n

Explanation:

6, 12, 18, 24

Take the 2nd number minus the first number, 3rd minus the second, etc

12-6 =6

18-12 = 6

24-18 =6

The common difference is 6

The formula for an arithmetic sequence is

an =a1+d(n-1)

where a1 is the first term

d is the common difference

n is the term number

an = 6+6(n-1)

Distributing

= 6+6n-6

= 6n

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