Pre-Calculus - Learn to find the sum of an arithmetic series

The video tutorial explains how to find the sum of an arithmetic sequence. It begins by identifying the difference between terms and discusses the use of a calculator for simple sums. The tutorial then provides a method to calculate the sum without a calculator, using an example of a sequence with 10 terms. The final result of the sequence sum is calculated and presented.

What is the common difference in an arithmetic sequence where the first two terms are 1 and 3?

• 4

• 3

• 2

• 1

Why might it be challenging to find the sum of an arithmetic sequence without a calculator?

• The sequence might be too short.

• The sequence might not have a common difference.

• The sequence might be too simple.

• The sequence might be too long and complex.

How do you calculate the sum of an arithmetic sequence with 10 terms?

• Multiply the number of terms by the common difference.

• Add the first and last terms, then multiply by the number of terms divided by 2.

• Add all the terms together.

• Multiply the first term by the last term.

In the given example, what is the value of the 10th term?

• 17

• 20

• 18

• 19

What is the sum of the arithmetic sequence with 10 terms, as calculated in the example?

• 90

• 95

• 100

• 105