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Find the solution to the recurrence relation an = –an - 1 with the initial condition a0 = 5 using an iterative approach.

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User Hammett
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Final answer:

To solve the recurrence relation an = -an-1 with initial condition a0 = 5 using an iterative approach, start with the initial condition and use the recurrence relation to find the values of subsequent terms.

Step-by-step explanation:

To find the solution to the recurrence relation an = -an-1 with the initial condition a0 = 5, we can use an iterative approach.

Step 1: Start with the initial condition, a0 = 5.

Step 2: Use the recurrence relation to find the values of a1, a2, a3, and so on.

Step 3: Substitute the values of a0, a1, a2, a3, and so on into the relation an = -an-1.

Step 4: Continue this process until you reach the desired term.

For example, using the given recurrence relation and initial condition, we can find the values of a1, a2, a3, and so on as follows:

a1 = -a0 = -5

a2 = -a1 = 5

a3 = -a2 = -5

And so on.

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User Yifan Sun
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