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Omni-MATH / A sequence is defined by a₀=1 and a_(n)=2^(a_(n−1)) for n≥1. What is the last digit (in base 10) of a₁₅?

Problem

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problem

A sequence is defined by a0=1a_{0}=1 and an=2an−1a_{n}=2^{a_{n-1}} for n≥1n \geq 1. What is the last digit (in base 10) of a15a_{15}?
Plain-text mathematical notation (without MathML)
A sequence is defined by a₀=1 and a_(n)=2^(a_(n−1)) for n≥1. What is the last digit (in base 10) of a₁₅?
Original LaTeX notation
A sequence is defined by $a_{0}=1$ and $a_{n}=2^{a_{n-1}}$ for $n \geq 1$. What is the last digit (in base 10) of $a_{15}$?

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Source and history

task_id
3762366a-26f3-597d-92dc-f8883f1f8210
task_key
test--3762366a-26f3-597d-92dc-f8883f1f8210
task_revision_id
1
config / split
/ test

Official source

initial import