Find the partial sum S16 for the arithmetic sequence with a = 7, d = 7. S16
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![The image displays an arithmetic sequence problem, asking to find the partial sum \( S_{16} \) for the sequence where the first term \( a = 7 \) and the common difference \( d = 7 \).
The sequence is defined as:
\[ a_n = a + (n-1)d \]
To find the partial sum \( S_{n} \), use the formula:
\[ S_{n} = \frac{n}{2} \times (2a + (n-1)d) \]
Given:
- \( a = 7 \)
- \( d = 7 \)
- \( n = 16 \)
Calculate \( S_{16} \) using these values in the formula.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd920f800-7cb4-4708-a86f-fdc64006663e%2Fd21036c9-20d9-4096-9d7a-54aa2517d472%2Fxkjjmlh_processed.png&w=3840&q=75)
Transcribed Image Text:The image displays an arithmetic sequence problem, asking to find the partial sum \( S_{16} \) for the sequence where the first term \( a = 7 \) and the common difference \( d = 7 \).
The sequence is defined as:
\[ a_n = a + (n-1)d \]
To find the partial sum \( S_{n} \), use the formula:
\[ S_{n} = \frac{n}{2} \times (2a + (n-1)d) \]
Given:
- \( a = 7 \)
- \( d = 7 \)
- \( n = 16 \)
Calculate \( S_{16} \) using these values in the formula.
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