I have the following sequences that form a relationship:
x: 1 2 3 4 5
y: 1 2 4 8 16
Where each number in the second sequence is twice the previous number.
Is there a formula that will give me the correct value of y for a given value of x? Does it have a name, and how could I have gone about working this out for myself?
Many thanks in advance.
Answer
You have $y=2^{x-1}$ and some characters
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