A) Identify if the sequence is arithmetic, geometric ,harmonic, or Fibonacci. 1) 45, 40, 35, 30 2) 15, 70,375,1875 3) 34, 55, 89, 144 4) 27, 18, 12, 8 5) 1/2, 1/3, 1/4, 1/5. Created by anqelfvlly.

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Answer:

1) Arithmetic sequence with a common difference of -5.

2) Geometric sequence with a common ratio of 4.

3) Fibonacci sequence.

4) Arithmetic sequence with a common difference of -9.

5) Harmonic sequence.

Step-by-step explanation:

1) Arithmetic sequence with a common difference of -5.

Since 40 = 45 - 5, 35 = 40 - 5, and 30 = 35 - 5, the sequence is arithmetic with a common difference of -5.

2) Geometric sequence with a common ratio of 4.

Since 70 = 15 x 4.67, 375 = 70 x 5.36, and 1,875 = 375 x 5, the sequence is geometric with a common ratio of 4.67.

3) Fibonacci sequence.

Since 55 = 34 + 21, 89 = 55 + 34, and 144 = 89 + 55, the sequence is a Fibonacci sequence where each term is the sum of the previous two terms.

4) Arithmetic sequence with a common difference of -9.

Since 18 = 27 - 9, 12 = 18 - 6, and 8 = 12 - 4, the sequence is arithmetic with a common difference of -9.

5) Harmonic sequence.

Each term is the reciprocal of the corresponding positive integer. Specifically, the n-th term is 1/n, so the sequence is a harmonic sequence.