Solution-Find a closed form for the recurrence relation

Find a closed form for the recurrence relation

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Reference no: EM131585317

Question: 1. Try to use kth differences to find a closed form for the recurrence a₀ = 1, a_n = 2a_n-1. What happens?

2. Try to use kth differences to find a closed form for the recurrence a0 = 0, an = a_n-1 +n(-1)ⁿ. What happens?

3. Find a closed form for a₀ = 8, a_n = a_n-1-4 and check that your formula is correct.

4. Find a closed form for a₀ = 3, a_n = a_n-1+2 and check that your formula is correct.

5. Challenge: Create your own recurrence for which a closed form can be found using kth differences, and find that closed form.

Reference no: EM131585317

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Find a closed form for the recurrence relation

Reference no: EM131585317

Reference no: EM131585317

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