Question
Find the sum of the first 10 terms of the following geometric sequences:
1526.0
1532.0
1534.5
1528.5
1526.0
1532.0
1534.5
1528.5
Ask by Washington Washington. in the United States
Jan 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The sum of the first 10 terms is 1534.5.
Solution
To find the sum of the first 10 terms of the geometric sequence
, follow these steps:
-
Identify the first term and the common ratio:
- First term (
) = 1.5 - Common ratio (
) =
- First term (
-
Use the formula for the sum of the first
terms of a geometric sequence: Plugging in the values:
Answer: 1534.5
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To find the sum of the first 10 terms of the geometric sequence
, we identify the first term
and the common ratio
.
The formula for the sum
of the first
terms of a geometric series is:
Plugging in the values for
:
So, the sum of the first 10 terms is
.