Question
Find the sum of the first $15$ terms of the arithmetic progression $5, 8, 11, \ldots$ / समांतर श्रेणी $5, 8, 11, \ldots$ के प्रथम $15$ पदों का योग ज्ञात कीजिए।
Option 2 : $390$ / $390$
Detailed Solution
सही उत्तर $390$ / $390$ है।
Here $a = 5$, $d = 3$, $n = 15$. Sum $= \frac{15}{2}[2 \times 5 + 14 \times 3] = \frac{15}{2} \times 52 = 390$. / यहाँ $a = 5$, $d = 3$, $n = 15$। योग $= \frac{15}{2}[2 \times 5 + 14 \times 3] = \frac{15}{2} \times 52 = 390$।
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Question:
Find the sum of the first $15$ terms of the arithmetic progression $5, 8, 11, \ldots$ / समांतर श्रेणी $5, 8, 11, \ldots$ के प्रथम $15$ पदों का योग ज्ञात कीजिए।
Correct Answer: $390$ / $390$
Here $a = 5$, $d = 3$, $n = 15$. Sum $= \frac{15}{2}[2 \times 5 + 14 \times 3] = \frac{15}{2} \times 52 = 390$. / यहाँ $a = 5$, $d = 3$, $n = 15$। योग $= \frac{15}{2}[2 \times 5 + 14 \times 3] = \frac{15}{2} \times 52 = 390$।