Question
If the first 5 terms of a geometric sequence are
, then the
formula for the
term in the sequence is
formula for the
Ask by Coleman Ramirez. in the United States
Jan 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The
term of the sequence is
.
Solution

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Bonus Knowledge
In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, the common ratio
can be found by dividing any term by the previous term. For example,
. This means each term is half of the previous one!
To formulate the
term, we can express it as
. Here,
and
. Plugging in the known values, the formula becomes
.
Now you can have fun finding any term you desire in this sequence!