Arithmetic Sequence Worksheet
1. Given the arithmetic sequence 2, 6, 10, 14,…… find the common difference and the 15th term.
2. If the first term of an arithmetic sequence is 10 and the common difference is 3, find the nth term of the sequence.
3. In an arithmetic sequence, the 7th term is 33 and the 15th term is 57. Find the common difference and the first term of the sequence.
4. An arithmetic sequence has a first term of 7 and a common difference of 4. Find the sum of the first 10 terms.
5. The 12th term of an arithmetic sequence is 30 and the 20th term is 50. Find the common difference and the first term of the sequence
Arithmetic Sequence
Arithmetic Sequence is a type of sequence out of all sequences where each term of the sequence is related to the previous term of the sequence by a linear relation. A sequence is a collection of objects where all the terms follow an order or pattern by which the whole sequence can be identified. In the case of an Arithmetic Sequence, each term can be found by adding a constant to the preceding term of the Arithmetic Sequence, this constant sets the Arithmetic Sequence apart from the other sequences.
In this article, we will explore the concept of Arithmetic Sequence and various formulas associated with it. We will also learn about the various properties of Arithmetic Sequences.
Table of Content
- What is Arithmetic Sequence?
- Arithmetic Sequence Definition
- Arithmetic Sequence Examples
- Arithmetic Sequence Formula
- Nth Term of Arithmetic Sequence
- Recursive Formula for Arithmetic Sequence
- Sum of terms in Arithmetic Sequence
- Arithmetic Series
- Properties of Arithmetic Sequence
- Arithmetic Sequence and Geometric Sequence
- Sample Problems on Arithmetic Sequence
- Arithmetic Sequence Worksheet