Question
The first three terms of a geometric
sequence are given:
- Find the constant ratio,
.
- Determine the formula for
of the
sequence.
sequence are given:
sequence.
Ask by Brewer Medina. in South Africa
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The constant ratio
is -3. The formula for the
-th term is
.
Solution

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Mind Expander
To find the constant ratio
of the geometric sequence, we divide the second term by the first term. So,
Now, dividing the third term by the second to confirm the ratio:
Thus, the constant ratio
is indeed
.
For the formula of the
-th term, we can use the general formula for a geometric sequence which is:
Plugging in
and
, we get:
This is a fun way to express the
-th term!