Can someone explain what's a closed-form expression in the context of this problem?
Define a sequence (an) by a0 = 1 and an = 4 + 2an−1 for n ≥ 1.
(a) Compute a0, a1, a2, a3, a4, and a5.
(b) Find a closed-form expression for an.
(c) Prove your answer for part (b) by induction on n.

Question

Can someone explain what's a closed-form expression in the context of this problem?
Define a sequence (an) by a0 = 1 and an = 4 + 2an−1 for n ≥ 1.
(a) Compute a0, a1, a2, a3, a4, and a5.
(b) Find a closed-form expression for an.
(c) Prove your answer for part (b) by induction on n.

freckles · Answer

so can you say how far you have gotten?

bee_see · Answer

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