With each step you take when climbing a staircase, you can move up either one stair or
Chapter 5, Problem 39(choose chapter or problem)
With each step you take when climbing a staircase, you can move up either one stair or two stairs. As a result, you can climb the entire staircase taking one stair at a time, taking two at a time, or taking a combination of one- and two-stair increments. For each integer n ≥ 1, if the staircase consists of n stairs, let \(c_{n}\) be the number of different ways to climb the staircase. Find a recurrence relation for \(c_{1}, c_{2}, c_{3}\), . . . .
Text Transcription:
c_n
c_1, c_2, c_3
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