Is the sequence an a solution of the recurrence relation an = 8an−1 − 16an−2?
1 answer:
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Answer:
The solution of the equation is ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve this problem
- The function f(x) = e^x is called the (natural) exponential function
- The natural logarithm (㏑), or logarithm to base e, is the inverse
function to the natural exponential function
∵ is an exponential function
∴ We can solve it by using the inverse of e (㏑)
- Remember:
#
#
- Insert ln in both sides
∴
∵
∴ 2x + 5 = ㏑(4)
- Subtract 5 from both sides
∴ 2x = ㏑(4) - 5
- Divide both sides by 2 to find x
∴
* The solution of the equation is