How do you find the formula for the nth term of an arithmetic sequence

The video tutorial explains how to find the general formula for an arithmetic sequence using given terms. It starts by identifying the common difference between terms and then calculates the first term. Finally, it derives the formula for the nth term, demonstrating the process with examples.

What is the primary goal when working with an arithmetic sequence in this lesson?

• To calculate the product of terms

• To find the sum of all terms

• To determine the common ratio

• To derive a formula for any term

Which terms are given in the problem to help find the common difference?

• 4th and 13th terms

• 2nd and 8th terms

• 5th and 10th terms

• 1st and 2nd terms

How is the common difference (d) calculated in an arithmetic sequence?

• By adding the first and last terms

• By subtracting the 4th term from the 13th term and dividing by 9

• By multiplying the first term by the number of terms

• By dividing the sum of terms by the number of terms

What is the value of the first term (a1) in the sequence?

• 20

• 10

• 15

• 5

What is the final formula for the nth term of the sequence?

• a_n = n + 5

• a_n = 5n

• a_n = 5n - 5

• a_n = 5n + 5