Learn to write the explicit formula given two terms of the sequence

The video tutorial explains how to find the common difference in arithmetic sequences, especially when terms are not consecutive. It introduces the explicit formula and demonstrates how to use it to solve for the common difference and find the first term. The tutorial also covers simplifying the explicit formula once the common difference and first term are known.

What is the common difference in an arithmetic sequence?

• The ratio of two consecutive terms

• The sum of two consecutive terms

• The product of two consecutive terms

• The difference between two consecutive terms

Why can't we directly find the common difference if the terms are not consecutive?

• Because the terms are not in the same sequence

• Because the terms are too far apart

• Because the terms are not numbers

• Because the terms are not in the same arithmetic sequence

What is the purpose of using the explicit formula in arithmetic sequences?

• To find the product of the sequence

• To find the sum of the sequence

• To find the common ratio

• To find the common difference when terms are not consecutive

In the example given, what is the common difference found using the explicit formula?

• 5

• 3

• 6

• 2

What is the first term of the sequence as determined in the example?

• 0

• 3

• -1

• 1