Find a formula for the {eq}n {/eq}th term of the sequence in terms of {eq}n {/eq}.

{eq}1, 0, 1, 0, 1, \dots {/eq}

## Question:

Find a formula for the {eq}n {/eq}th term of the sequence in terms of {eq}n {/eq}.

{eq}1, 0, 1, 0, 1, \dots {/eq}

## General Expression

The general expression or the formula for the nth term, {eq}a_n {/eq}, of a sequence {eq}S_n = a_1, a_2, a_3, ..., {/eq} gives any element in the series, given {eq}n {/eq} or its position in the sequence. The expression {eq}a_n {/eq} offers a more compact method for writing a sequence.

## Answer and Explanation: 1

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View this answerA sequence {eq}S_n = a_1, a_2,a_3,a_4,a_5,\dots {/eq} has elements {eq}a_1, a_2, a_3, \dots {/eq}. The subscript refers to the nth element, i.e.,...

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Chapter 12 / Lesson 1Learn about the definition of sequence in math. Understand what finite and infinite mathematical sequences are and how they are represented. See examples of famous mathematical sequences that are commonly used.