Question

Identify the following series as geometric or arithmetic. Also identify the series as infinite or finite.

1) Infinite geometric
2) Finite arithmetic
3) Infinite arithmetic
4) Finite geometric

Answer 1

The given series can be identified as: Infinite geometric, Finite arithmetic, Infinite arithmetic, and Finite geometric.

Step-by-step explanation:

The given series can be identified as:

1. Infinite geometric.
2. Finite arithmetic.
3. Infinite arithmetic.
4. Finite geometric.

1) Infinite geometric: This series has a common ratio (common multiplier) between terms. It goes on indefinitely. An example is: 1, 2, 4, 8, 16,...

2) Finite arithmetic: This series has a common difference between terms. It has a limited number of terms. An example is: 2, 5, 8, 11, 14.

3) Infinite arithmetic: This series has a common difference between terms. It goes on indefinitely. An example is: 3, 6, 9, 12, 15,...

4) Finite geometric: This series has a common ratio (common multiplier) between terms. It has a limited number of terms. An example is: 2, 8, 32, 128, 512.