# Arithmetic Sequence

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 nth term of an arithmetic sequence, what is 101st term? c. Using the formula for the sum of an arithmetic series, what is the sum of the first 20 term? what is the sum of the first 30 terms?

Â© BrainMass Inc. brainmass.com March 4, 2021, 7:39 pm ad1c9bdddfhttps://brainmass.com/math/algebra/arithmetic-sequence-114248

#### Solution Preview

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

The difference between any 2 terms is 2.

3 - 1 = 2

5 - 3 = 2

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

#### Solution Summary

This solution is comprised of a detailed explanation to 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 nth term of an arithmetic sequence, what is 101st term?

c. Using the formula for the sum of an arithmetic series, what is the sum of the first 20 term? what is the sum of the first 30 terms?