2023 AMC 8 Problems/Problem 22
Problem
In a sequence of positive integers, each term after the second is the product of the previous two terms. The sixth term is . What is the first term?
Solution
Suppose the first two terms were and
. Then, the next terms would be
,
,
, and
. Since
is the sixth term, this must be equal to
. So,
. Trying out the choices, we get that
,
, which means that the answer is
~MrThinker
Solution 2:
We assign the value a as a term in this sequence.
When we prime factorize
4000 = 2^5 \cdot 5^3$$ (Error compiling LaTeX. Unknown error_msg)
We get C=5 and D=2 Remember C is the first number so, Our answer is![]()
Animated Video Solution
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