Question

Learn with an example

Write an equation to describe the sequence below. Use n to represent the position of a term
in the sequence, where n = 1 for the first term.
1, 4, 16, ...
Write your answer using decimals and integers.
an =
yn-1
Submit
Work it out
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Answer 1

Explanation:

Because dividing any term by the previous term gives a constant this is a geometric sequence of the form an=y^(n-1). Since each term is four times the previous term y=4 so

an=4^(n-1)