Consider the recursive sequence starting at a1a_1 and defined by a1=1a_1 = 1 and an=k⋅an−1a_n = k\cdot a_{n-1}, where kk is a natural number. Which of the following is a possible explicit formula for the nthn^{\text{th}} term of this recursive sequence?

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Type a concept, like “slope” or “photosynthesis”.

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