Worksheet: Finding the nth Term of an Arithmetic Sequence, Set 6

Topic

Sequences and Series

Description

Set 6 of this worksheet series continues to challenge students with advanced problems on finding the nth term of an arithmetic sequence. This skill is crucial for understanding linear patterns and progressions in mathematics.

The formula a_n = a + (n - 1)d remains central to these exercises, where students must apply it to increasingly complex scenarios. This reinforces their ability to analyze and predict linear growth or decay in various real-world contexts.

Teacher's Script: "Let's examine a sequence where the 5th term is 23 and the 9th term is 39. To find the nth term, we first calculate the common difference: (39 - 23) ÷ (9 - 5) = 4. Using the 5th term, we can find the first term: 23 = a + (5 - 1)4, so a = 7. Our general formula is thus a_n = 7 + (n - 1)4 = 4n + 3. This allows us to find any term in the sequence without listing them all!"

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.