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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

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Provide answerUploaded Image735M 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

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Asked by: Gurubindra Singh
Created at: 2025-08-20 19:36:00

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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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