Suppose that u₁ and u2 are vectors with ||u₁|| = 2 and ||u2|| = 3. You are also given that u₁ · U₂ = 5. Lastly, you are given un+2 = proju, Un+1 for n ≥ 1. In other words, u3 = proju, U2, U4 = proju₂ U3, and so forth. (a) Find ||un|| for n = 3,4,5,6. (b) Determine if the following series converges or diverges. If it converges, find the value. If it diverges, explain why. ∞ Σ||ur|| n=1

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