Question
The first term of a GP is 7 . Find its 4 th term if its
common ratio is 3
common ratio is 3
Ask by Goodwin Ruiz. in Nigeria
Jan 03,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The 4th term of the GP is 189.
Solution
To find the 4th term of a Geometric Progression (GP) with the given parameters, follow these steps:
Given:
- First term (a₁): 7
- Common ratio ®: 3
- Term to find (n): 4
Formula for the n-th term of a GP:
Plugging in the values:
Answer:
The 4th term of the GP is 189.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To find the 4th term of a geometric progression (GP), we can use the formula for the nth term, which is given by:
where
In this case, the first term
Thus, the 4th term
So, the 4th term of the GP is 189!
Now that’s a number that’ll surely pop at a party! Did you know that geometric progressions aren’t just numbers? They can be used in nature as well—for example, the way populations grow, where each generation is larger than the last based on a ratio, much like your recent math lesson!
