Question: 1) 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?

b) Using the formula for the n^th term of an arithmetic sequence, what is 101^st term?

c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?

d) Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?

e) What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."