Question

functions and average rate of change
a sequence is defined by (a_n=-4+(n - 1)12), where (n) is a positive integer.
what is the value of (a_{10})?

Explanation:

Step1: Substitute n = 10

Substitute \(n = 10\) into the formula \(a_{n}=-4+(n - 1)12\).
\[a_{10}=-4+(10 - 1)\times12\]

Step2: Calculate the value inside the parentheses

First, calculate \(10-1 = 9\).
\[a_{10}=-4+9\times12\]

Step3: Perform multiplication

Then, calculate \(9\times12 = 108\).
\[a_{10}=-4 + 108\]

Step4: Perform addition

Finally, calculate \(-4+108=104\).
\[a_{10}=104\]

Answer:

104