To find an equation that describes the sequence
-
Identify the pattern:
- The sequence can be seen as:
- The sequence can be seen as:
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Determine the relationship:
- The first term is
. - The second term is
which can be viewed as . - The third term is
which can be viewed as .
We can see that:
.
- The first term is
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Write the equation: Therefore, the equation that describes the sequence is:
So, you would fill in the blanks as follows: