Find the nth term of the arithmetic sequence {an} whose initial term a and common difference d a

step 1 So in this problem, we're first being asked to write an equation that will allow us to find any

Find the nth term of the arithmetic sequence {an} whose...

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Key Concepts

nth Term Formula

The nth term of an arithmetic sequence is found using the formula a? = a? + (n - 1)d, where a? represents the initial term, d is the common difference, and n is the position of the term. This formula allows for direct computation of any term in the sequence without having to sequentially add the common difference each time.

Common Difference

The common difference is the fixed amount added (or subtracted) to each term in an arithmetic sequence to form the next term. It defines the spacing between successive terms and is essential for forming the sequence's progression.

Arithmetic Sequence

An arithmetic sequence is a list of numbers where each term after the first is formed by adding a constant value to the previous term. This constant, known as the common difference, gives the sequence its predictable, linear structure.

Initial Term

The initial term is the first element in an arithmetic sequence, serving as the starting point for generating the subsequent terms. It is a crucial component in determining any term in the sequence.

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