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# Series

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# Alternating Series Exercises

### Example 1

Write the sum

- 4 + 16 – 25 + ...

using summation notation.

### Example 2

Write the sum using sigma notation.

1 + 1 + 1 + 1 + ...

### Example 3

Write the sum using sigma notation.

3 – 6 + 9 – 12 + ...

### Example 4

Write the sum using sigma notation.

2(0.7)^{1} + 2(0.7)^{2} + ... + 2(0.7)^{25}

### Example 5

Write the sum using sigma notation.

8 + 10 + 12 + 14 + 16 + ... + 500

### Example 6

Write the sum using sigma notation.

-3 + 0.3 – 0.03 + 0.003 – 0.0003

### Example 7

Write the series in expanded form.

### Example 8

Write the series in expanded form.

### Example 9

Write the series in expanded form.

### Example 10

Write the series in expanded form.

### Example 11

Write the series in expanded form.