What is the 9th term of this sequence ? could you show the process please? Certainly! The image contains a mathematical expression, which is transcribed below and explained for educational purposes:### Mathematical Expression:\[ a_n = (-1)^{2n} (n - 10)_2 \]### Explanation:1. **\( a_n \)**: This denotes the \( n \)-th term in a sequence.2. **\( (-1)^{2n} \)**: This term involves \( -1 \) raised to the power of \( 2n \). Since \( 2n \) is always even, \( (-1)^{2n} \) simplifies to \( 1 \), as any even power of \(-1\) results in \( 1 \).3. **\( (n - 10)_2 \)**: This appears to be a mathematical construct known as the Pochhammer symbol or shifted factorial, defined as \( (n - 10)(n - 11) \) in this context. This notation is often used in combinatorics and special functions.### Simplification:Given that \( (-1)^{2n} = 1 \), the expression simplifies to:\[ a_n = 1 \cdot (n - 10)(n - 11) \]Thus:\[ a_n = (n - 10)(n - 11) \]### Summary:The given formula calculates the \( n \)-th term of a sequence by evaluating the product of \( n - 10 \) and \( n - 11 \). The notation \( (-1)^{2n} \) consistently equals 1 due to the exponent being an even number, hence doesn't affect the final product. The term \( (n - 10)_2 \) represents the product of two consecutive terms starting from \( n - 10 \) and \( n - 11 \).This formula can be useful in various mathematical contexts including sequences, series, and combinatorial problems.

Name: What is the 9th term of this sequence ? could you show the process ple
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: What is the 9th term of this sequence ? could you show the process please? Certainly! The image contains a mathematical expression, which is transcribed below and explained for educational purposes:### Mathematical Expression:\[ a_n = (-1)^{2n} (n -