Question

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.

Answer 1

Answer: (C) geometric, r = 2

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.

Answer 2

C) Geometric; r = 2

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.