# The nth term of the following sequence 1, -4, 9, -16, 25, ... is given by the following formula....

## Question:

The nth term of the following sequence {eq}1, -4, 9, -16, 25, ... {/eq}

is given by the following formula.

Select one.

a. {eq}{a}_{n} = {(-n)}^2 {/eq}

b. {eq}{a}_{n} = {(-1)}^{n}\sqrt{n} {/eq}

c. {eq}{a}_{n} = {(-1)}^{(n-1)}{n}^{2} {/eq}

d. {eq}{a}_{n} ={(-1)}^{n}{n!} {/eq}

## General Term of a Sequence:

The general term of a sequence refers to a formula or rule that describes the nth term of the sequence in terms of n. Knowing the general term of a sequence enables us to calculate any term of the sequence without having to list out all the terms.

## Answer and Explanation: 1

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View this answerGiven Sequence:

$$1, -4, 9, -16, 25, \cdots $$

We have to find the nth term of the sequence.

The given sequence is an alternating sequence of squared...

See full answer below.

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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.