Learn how to find the partial sum of a arithmetic series

The video tutorial explains how to find the sum of an arithmetic sequence using the sum formula. It begins with an introduction to the problem, followed by a detailed explanation of the sum formula. The tutorial then demonstrates how to apply the formula to calculate the sum of 10 terms. It also covers the derivation of the formula for the nth term in an arithmetic sequence and shows how to calculate specific terms using this formula. The video concludes with the final calculation of the sum and a summary of the process.

What is the main challenge when calculating the sum of a large number of terms in an arithmetic sequence?

• Finding the first term

• Identifying the common difference

• Using a formula to calculate the sum efficiently

• Adding each term individually

Which formula is used to calculate the sum of an arithmetic sequence?

• S(n) = (a1 + an) / n

• S(n) = n^2 + a1 + an

• S(n) = n * (a1 + an)

• S(n) = n/2 * (a1 + an)

What is the common difference (d) in the given arithmetic sequence?

• 3

• -3

• 4

• -4

How is the nth term of an arithmetic sequence calculated?

• a(n) = a1 - n * d

• a(n) = a1 + (n - 1) * d

• a(n) = a1 / n + d

• a(n) = a1 * n + d

What is the sum of the first 10 terms of the sequence?

• 265

• 212

• 53

• 40