Determine if the following sequence is geometric
a) 5,2,-1,-4

b) 5,10,20,40

A) No. It is an arithmetic sequence because you are subtracting by 3.

B) Yes. It is a geometric sequence because you are multiplying by 2.

Step-by-step explanation:

Arithmetic is addition or subtraction.

5 - 3 = 2    2 - 3 = -1    -1 - 3 = -4

Geometric is multiplication.

5 X 2 = 10    10 X 2 = 20    20 X 2 = 40

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step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6