What is the pattern rule for 1 2 4 8?

Answer 1

Oh, what a beautiful pattern you have there! It looks like each number is doubling from the previous one. So, the pattern rule is to multiply each number by 2 to get the next one. Keep exploring patterns, my friend, and let your creativity flow!

Answer 2

You are doubling the values each time. So it is U{n} = 2ⁿ⁻¹ for n = 1, 2, 3, 4.

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Nothing can be said about values of U{n} beyond n = 4, as that above is only one of infinitely many functions which give the values {1, 2, 4, 8} for n = {1, 2, 3, 4}. For example:

In the above formula, U{5} = 16

But if U{n} = (27n⁴ - 266n³ + 933n² - 1318n + 648)/24

then U{1..4} are also {1, 2, 4, 8}, but U{5} = 42