Geometric and Arithmetic Series Concepts

Arithmetic series have a common ratio, geometric series have a common difference.

Arithmetic series have a common difference, geometric series have a common ratio.

Both series have a common ratio.

Both series have a common difference.

The sum of all terms.

The difference between consecutive terms.

The factor by which each term is multiplied to get the next term.

The number of terms in the series.

By adding all the terms together.

By multiplying the first term by the number of terms.

By dividing the last term by the first term.

By using the formula: first term minus the next term divided by one minus the common ratio.

They are ignored.

They are subtracted.

They are doubled.

They add to zero.

1

2

4

8

3125

15625

8000

12500

It has a finite number of terms.

It always diverges.

It always converges to a sum.

It can be written with a common ratio.

When the common ratio is greater than 1.

When the common ratio is exactly 1.

When the common ratio is less than -1.

When the common ratio is between -1 and 1.

It converges to a sum.

It becomes zero.

It diverges.

It oscillates.

1/9

1/3

-1/3

-1/9