Find the partial S8 for the geometric sequence with a = 5, r = 3. sum %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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![Find the partial sum \( S_8 \) for the geometric sequence with \( a = 5 \), \( r = 3 \).
\[ S_8 = \boxed{} \]
For a geometric sequence, the partial sum \( S_n \) of the first \( n \) terms can be calculated with the formula:
\[ S_n = a \frac{r^n - 1}{r - 1} \]
where:
- \( a \) is the first term,
- \( r \) is the common ratio,
- \( n \) is the number of terms.
In this case, to find \( S_8 \), you would substitute \( a = 5 \), \( r = 3 \), and \( n = 8 \) into the formula.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd920f800-7cb4-4708-a86f-fdc64006663e%2F6af54991-09e0-44ab-b742-e3df19f25ae4%2Fq667l3w_processed.png&w=3840&q=75)
Transcribed Image Text:Find the partial sum \( S_8 \) for the geometric sequence with \( a = 5 \), \( r = 3 \).
\[ S_8 = \boxed{} \]
For a geometric sequence, the partial sum \( S_n \) of the first \( n \) terms can be calculated with the formula:
\[ S_n = a \frac{r^n - 1}{r - 1} \]
where:
- \( a \) is the first term,
- \( r \) is the common ratio,
- \( n \) is the number of terms.
In this case, to find \( S_8 \), you would substitute \( a = 5 \), \( r = 3 \), and \( n = 8 \) into the formula.
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