Worksheet: Finding the nth Term of an Arithmetic Sequence, Set 8

Topic

Sequences and Series

Description

Set 8 of this worksheet series presents students with advanced problems that require a deep understanding of arithmetic sequences and their properties. These exercises are designed to strengthen students' ability to apply the nth term formula in complex situations.

The concept of arithmetic sequences and the formula a_n = a + (n - 1)d have applications in various fields such as finance, physics, and computer science. Mastering this skill prepares students for more advanced mathematical concepts and real-world problem-solving.

Teacher's Script: "Let's analyze a sequence where the sum of the 4th and 7th terms is 37, and the 10th term is 28. We can set up two equations: (a + 3d) + (a + 6d) = 37 and a + 9d = 28. Solving these simultaneously, we find a = 10 and d = 2. Therefore, our nth term formula is a_n = 10 + (n - 1)2 = 2n + 8. This example shows how we can derive the formula even with limited information about the sequence."

For a complete collection of terms related to Sequences and Series click on this link: Finding the nth Term of an Arithmetic Sequence Worksheet Collection.