Find the partial sum of a sequence of 25 terms

The video tutorial explains how to find the partial sum of an arithmetic sequence. It begins by introducing the concept of partial sums and the need for a formula to calculate them efficiently. The teacher then demonstrates how to derive the rule for the sequence using the difference between terms. The formula for the partial sum is applied to find the 25th term and calculate the sum of the sequence. The tutorial concludes with a practical example of calculating the sum using the derived formula.

What steps would you take to find the sum of 250 terms in the sequence?

How do you calculate the sum of the first n terms in an arithmetic sequence?

Explain how to find the last term of an arithmetic sequence when given the number of terms.

What is the formula for finding the nth term of an arithmetic sequence?

What is the common difference in the sequence discussed in the text?

Describe the process of deriving the formula for the nth term from the first term and common difference.

If the first term is 2 and the common difference is 6, what is the 25th term?