Write the 9th term of the sequences whose n^th term is a_n = (- 1)^{n - 1} n³

Solution:

The sequence is a list of numbers (or items) that exhibits a particular pattern

Here nth term is given as a_n = (- 1)^{n - 1} n³

Substituting n = 9

To find the value of a_9,

We need to replace n with 9. 

= (- 1)^{9 - 1} 9³

= 729

NCERT Solutions Class 11 Maths Chapter 9 Exercise 9.1 Question 9

Write the 9th term of the sequences whose n^th term is a_n = (- 1)^{n - 1} n³

Summary:

It is given that the nth term of the sequence is a_n = (- 1)^{n - 1} n³. Therefore the 9th term of the sequence is 729