Practice problem
Write the sequence 1,4,16,64,⋯1,4,16,64,\cdots1,4,16,64,⋯ as a recursive sequence where n≥1n\ge1n≥1.
an=4an−1a_n = 4^{a_{n-1}}an=4an−1
an=an−14a_n = a_{n-1}^4an=an−14
an=4an−1a_n = 4a_{n-1}an=4an−1
an=2an−1a_n = 2^{a_{n-1}}an=2an−1
Type a concept, like “slope” or “photosynthesis”.