Is the sequence (a) (1.2,2.4,4.8,9.6. arithmetic, geometric, or neither? If arithmetic, identify the common difference, d. If the sequence is geometric, identify the common ratio, r.

Is the sequence a 12244896 arithmetic geometric or neither If arithmetic identify the common difference d If the sequence is geometric identify the common ratio class=

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Answer:

C) Geometric; r = 2

Step-by-step explanation:

The given sequence An = {1.2, 2.4, 4.8,9.6,...}

Geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

The given sequence is a geometric sequence. Because second term is first term multiplied by a constant 2.

The common ratio = 2.4/1.2  = 2

r= 2

Answer: C) Geometric; r = 2

Thank you.

Answer: (C) geometric, r = 2

Step-by-step explanation:

  • 1.2, 2.4, 4.8, 9.6
  •    ∨     ∨     ∨
  •   x2    x2   x2

Each term is multiplied by 2 to create the next term.  Multiplication makes this a geometric sequence. Since it is multiplied by 2, r = 2.

NOTE: If the terms were added, then it would be an arithmetic sequence.