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Sagot :

Answer:

IS IT AN ARITHMETIC SEQUENCE OR NOT?

1. 3,6,9,12

Ans: Yes (it's an arithmetic sequence)

Common difference: 3

2. -5,2,-1,4

Ans: No (it's not an arithmetic sequence)

3. 1,2,5,10

Ans: No

4. 8,3,-2,-7

Ans: Yes (it's an arithmetic sequence)

Common difference: -5

5. -7,-4,-1,2

Ans: Yes (it's an arithmetic sequence)

NOW,

How to identify if it's an arithmetic sequence?

Ans: Simply find it's COMMON DIFFERENCE

How to find common difference?

All you have to do is to subtract the second term to the first term

The equation is d = a₂ - a₁ or a₃ - a₄ and so on

Ex.

3,6,9,12

Solution: d = a₂ - a₁

d = 6 - 3

d = 3

Let's try to see if it's the same for others

d = 9 - 6

d = 3

Therefore it's an arithmetic sequence.