Worksheet: Finding the nth Term of an Arithmetic Sequence, Set 7

Topic

Sequences and Series

Description

In Set 7, students encounter even more sophisticated problems related to arithmetic sequences. This worksheet emphasizes the importance of recognizing patterns and applying the nth term formula in diverse situations.

Understanding how to derive and use the formula a_n = a + (n - 1)d is essential in many fields, including economics, physics, and data analysis. It allows for accurate predictions and modeling of linear trends in various real-world scenarios.

Teacher's Script: "Consider a company that starts with 50 employees and adds 8 new hires every month. We can model this with an arithmetic sequence where a = 50 and d = 8. Our nth term formula is a_n = 50 + (n - 1)8 = 8n + 42. If we want to know how many employees they'll have after 2 years, we simply calculate a₂₄ = 8(24) + 42 = 234 employees. This demonstrates the power of our formula in making long-term predictions!"

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.