# Arithmetic Sequence

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Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following:

1. What is d, the difference between any 2 terms

2. Using the formula for the nth term of an arithmetic sequence, what is 101st term?

3. Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?

4. Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?

5. What observation can you make about these sums of this sequence? Express your observations as a general formula in "n."

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#### Solution Preview

Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following:

a) What is d, the difference between any 2 terms?

Just subtract one number from the previous one.....d = 2.

b) Using the formula for ...

$2.49