Find The Next Four Terms Of The Arithmetic Sequence 21,15,9,

Find the next four terms of the arithmetic sequence 21,15,9

 

Answer:

The next four terms are:  3, -3, -9, -15.

Step-by-step explanation:

The first 3 terms of the sequence: 21, 15, 9  (decreasing sequence)

a₁ = 21

a₂ = 15

a₃ = 9

Find the common difference (d):

a₂ - a₁ = a₃ - a₂

15 - 21 = 9 - 15

-6 = -6

d = -6

Find the next four terms a₄, a₅, a₆, a₇:

a₄ = a₃ + d

a₄ = 9 + (-6)

a₄ = 3

a₅ = 3 + (-6)

a₅ = -3

a₆ = -3 + (-6)

a₆ = -9

a₇ = -9 + (-6)

a₇ = -15

The next four terms are:  3, -3, -9, -15.

The sequence: 21, 15, 9, 3, -3, -9, -15.


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