What is the next term of the arithmetic sequence? -3,0,3,6,9,−3,0,3,6,9,minus, 3, comma, 0, comma, 3, comma, 6, comma, 9, comma

12

Step-by-step explanation:

Given the arithmetic sequence :

-3,0,3,6,9

Using the relation :

Tn = a + (n- 1) d

d = common difference = t2 - t1 = 0 - (-3) = 3

The next term = 6th term ; n = 6

a = first term

T6 = - 3 + (6 - 1)3

T6 = - 3 + (5)3

T6 = - 3 + 15

T6 = 12

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