Provide answer735M N RB 82%u _ a . s {) 25 app.outlierai/screening?id=68a5cc2 + H OQ’ Outlier ————————— & 5m 57s remaining A sequence has its first term as 5 and a common difference of 2. What is the sum of the first 15 terms of this arithmetic sequence? 285 270 255 240 | 0) 4
Question:
Provide answer
735M N RB 82%u
_ a . s
{) 25 app.outlierai/screening?id=68a5cc2 + H
OQ’ Outlier ————————— & 5m 57s remaining
A sequence has its first term as 5 and a common difference of 2. What is the sum of the first 15 terms of this arithmetic
sequence?
285
270
255
240
| 0) 4
This is AI generated Response.
Asked by: Gurubindra Singh
Created at: 2025-08-20 19:36:00
Asked by: Gurubindra Singh
Created at: 2025-08-20 19:36:00
Final Answer:
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Let's solve the arithmetic sequence problem step by step.
Given:
- First term (**a**) = 5
- Common difference (**d**) = 2
- Number of terms (**n**) = 15
The sum of the first **n** terms of an arithmetic sequence is given by:
\[ S_n = \frac{n}{2} [2a + (n-1)d] \]
Plug in the values:
\[
S_{15} = \frac{15}{2} [2 \times 5 + (15-1) \times 2]
\]
\[
= \frac{15}{2} [10 + 28]
\]
\[
= \frac{15}{2} \times 38
\]
\[
= 15 \times 19
\]
\[
= 285
\]
**Final Answer:**
**285** (Select this option)
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